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Mathematics › Applied Mathematics

Nonlinear Differential Equations Analysis

Works Count: 38853

Description

This cluster of papers focuses on the theory and applications of fractional differential equations, covering topics such as boundary value problems, semilinear and impulsive differential equations, existence results, controllability, mild solutions, nonlinear systems, time scales, and functional differential equations.

Keywords

Fractional Differential Equations; Boundary Value Problems; Semilinear Differential Equations; Impulsive Differential Equations; Existence Results; Controllability; Mild Solutions; Nonlinear Systems; Time Scales; Functional Differential Equations

Most Cited Works

Action Title Date Authors
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Functional Differential Equations 1971-01-01 Jack K. Hale
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Difference Equations and Inequalities 2000-01-27 Ravi P. Agarwal
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Stability of Dynamical Systems 2018-07-28 Nivaldo A. Lemos̀
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Topological Degree Methods in Nonlinear Boundary Value Problems 1979-12-31 Jean Mawhin
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Almost Periodic Functions 1933-03-01 A. S. Besicovitch
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Theory and Applications of Fractional Differential Equations 2006-01-01 Anatoly A. Kilbas H. M. Srivastava Juan J. Trujillo
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Transcendental Logarithmic Utility Functions 1975-01-01 Dale W. Jorgenson Laurits R. Christensen Lawrence J. Lau
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Global Behavior of Nonlinear Difference Equations of Higher Order with Applications 1993-01-01 V. L. Kocic G. Ladas
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Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies) 2006-02-01 Anatoly A. Kilbas H. M. Srivastava Juan J. Trujillo
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A fixed point theorem for asymptotically nonexpansive mappings 1972-09-01 K. Goebel W. A. Kirk
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Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations 2005-08-01 Juan J. Nieto Rosana Rodríguez‐Löpez
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Uniqueness of positive solutions of Δu−u+up=0 in Rn 1989-09-01 Man Kam Kwong
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Dual variational methods in critical point theory and applications 1973-12-01 Antonio Ambrosetti Paul H. Rabinowitz
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Symmetry and related properties via the maximum principle 1979-10-01 Basilis Gidas Wei‐Ming Ni Louis Nirenberg
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On functions of bounded mean oscillation 1961-08-01 Franklin John Louis Nirenberg
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On the Stability of the Linear Functional Equation 1941-04-15 D. H. Hyers
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Basic theory of fractional differential equations 2007-08-28 V. Lakshmikantham A. S. Vatsala
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The approach of solutions of nonlinear diffusion equations to travelling front solutions 1977-12-01 Paul C. Fife J. B. McLeod
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A generalized Gronwall inequality and its application to a fractional differential equation 2006-07-07 Haiping Ye Jianming Gao Yongsheng Ding
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On the fuzzy initial value problem 1987-12-01 Seppo Seikkala
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User’s guide to viscosity solutions of second order partial differential equations 1992-01-01 Michael G. Crandall Hitoshi Ishii Pierre-Louis Lions
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On the existence of certain singular integrals 1952-01-01 A. P. Calderón A. Zygmund
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Positive solutions of nonlinear elliptic equations involving critical sobolev exponents 1983-07-01 Haïm Brézis Louis Nirenberg
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Monotone (nonlinear) operators in Hilbert space 1962-09-01 George J. Minty
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Construction of fixed points of nonlinear mappings in Hilbert space 1967-11-01 Felix E. Browder W. V. Petryshyn
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Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem 1991-12-01 Ludwik Byszewski
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Weak convergence of the sequence of successive approximations for nonexpansive mappings 1967-01-01 Z. Opial
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Finite difference approximations for two-sided space-fractional partial differential equations 2005-03-18 Mark M. Meerschaert Charles Tadjeran
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A new definition of fractional derivative 2014-01-16 Roshdi Khalil Mohammed Al Horani A. Yousef Mohammad Sababheh
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Elementary Stability and Bifurcation Theory 1980-01-01 Gérard Iooss Daniel D. Joseph
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A relation between pointwise convergence of functions and convergence of functionals 1983-07-01 Haïm Brézis Élliott H. Lieb
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Theory of Functional Differential Equations 1977-01-01 Jack K. Hale
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Some properties of fractional integrals. I. 1928-12-01 G. H. Hardy J. E. Littlewood
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On conformable fractional calculus 2014-10-29 Thabet Abdeljawad
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On the solutions of quasi-linear elliptic partial differential equations 1938-01-01 Charles B. Morrey
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Some global results for nonlinear eigenvalue problems 1971-06-01 Paul H. Rabinowitz
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Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces 1976-10-01 Herbert Amann
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Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces 1971-04-01 Michael G. Crandall Thomas M. Liggett
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Finite difference/spectral approximations for the time-fractional diffusion equation 2007-02-15 Yumin Lin Chuanju Xu
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Stability of Functional Differential Equations 1986-01-01
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Proceedings of the 40th IEEE Conference on Decision and Control 2001-01-01
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A Caputo fractional derivative of a function with respect to another function 2016-09-13 Ricardo Almeida
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A Treatise on the Theory of Bessel Functions 1944-12-01 H. T. Davis G. N. Watson
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Positive solutions for boundary value problem of nonlinear fractional differential equation 2005-04-11 Zhanbing Bai Haishen Lü
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A new collection of real world applications of fractional calculus in science and engineering 2018-04-24 HongGuang Sun Yong Zhang Dumitru Băleanu Wen Chen YangQuan Chen
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An Extension Problem Related to the Fractional Laplacian 2007-08-08 Luis Caffarelli Luís Silvestre
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Almost Periodic Differential Equations 1974-01-01 A. M. Fink
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One-Parameter Semigroups for Linear Evolution Equations 2000-01-01 Klaus‐Jochen Engel Rainer Nagel
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Impulsive Differential Equations 1995-08-01 А. М. Самойленко N. A. Perestyuk
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Stability results for fractional differential equations with applications to control processing 1996-01-01 Denis Matignon

Most Recent Works

Action Title Date Authors
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POSITIVE SOLUTIONS OF DISCRETE FRACTIONAL STURM–LIOUVILLE PROBLEMS 2025-05-01 Jagan Mohan Jonnalagadda Anita Tomar
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The Existence and Stability of Integral Fractional Differential Equations 2025-05-01 Rahman Ullah Khan Ioan‐Lucian Popa
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Existence of Solutions for Fractional Order Differential Equations: Extended Results 2025-05-01 Saleh Fahad Aljurbua Munirah Alrashidi Asrar Alrashidi Rawan Alharbi Rawan Almutairi M. J. Saad Najla M. Alharbi Wejdan Alrawji Nader Alharbi Dhay Alharbi
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Investigation of Existence and Ulam's type Stability for Coupled Fractal Fractional Differential Equations 2025-05-01 Amjad Ali Farha Bibi Zeeshan Ali Kamal Shah Bahaaeldin Abdalla Thabet Abdeljawad
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Local and Global Weak Solutions for Elliptic Nonlinear Equations 2025-05-01 Habeeb Ibrahim Mohammed E. Dafaalla Osman Osman Ashraf. S. ELshreif
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The Saks-Henstock Lemma and the Change of Variable Formula of the PU integral 2025-05-01 Greig Bates C. Flores Amira Flores
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Advancements in Ostrowski type fractional Integral Inequalities via Applications of Jensen's and Young's Inequalities 2025-05-01 Gauhar Rahman Muhammad Samraiz Çetin Yıldız Maryam Ali Alghafli Nabil Mlaiki
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On Qualitative Properties of \(L_\Theta\)-Solutions for Coupled Systems of Hadamard-Type Fractional Integral Equations in Banach Spaces 2025-05-01 Mohamed M. A. Metwali Shami A. M. Alsallami
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Comparative Results on Stability Analysis for Three Dimensional Functional Equations 2025-05-01 Jagjeet Jakhar Dumitru Bǎleanu S.M. Sharma Majeed A. Yousif Jyotsana Jakhar Nejmeddine Chorfi Pshtiwan Othman Mohammed
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On approximately skew derivations 2025-05-01 H. Khodaei Mehdi Rostami Ahmad Alinejad
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Finite-Time Stability of a Class of Nonstationary Nonlinear Fractional Order Time Delay Systems: New Gronwall–Bellman Inequality Approach 2025-04-30 Mihailo Lazarević Stjepko Pišl Darko Radojević
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A Study on Square-Mean S-Asymptotically Bloch Type Periodic Solutions for Some Stochastic Evolution Systems with Piecewise Constant Argument 2025-04-30 Mamadou Moustapha Mbaye Amadou Diop Gaston M. N’Guérékata
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Stability Analysis of Coupled Hadamard Hybrid Fractional Differential Equations with Generalized Hybrid Boundary Conditions 2025-05-01 Shahid Iqbal Usman Riaz Saeed Islam Syed Omar Shah Adnène Arbi
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Infinitely many solutions for a class of fractional equations via variant fountain theorems 2025-04-30 Abdelilah Azghay Mohammed Massar Abderrahim El Mhouti
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Existence of a positive solution for a second order Sturm-Liouville boundary value problem on the half-line with a nonlinear derivative dependence via variational methods 2025-04-30 Aicha Bouzehhar Sihem Boumaraf Toufik Moussaoui
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Analyzing the stability of coupled nonlinear fractional Volterra–Fredholm integro-differential equations with a modern method for numerical solutions 2025-05-02 Maryam Mohseni Davood Rostamy
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A Single and Multi‐Valued Problems Involving Mixed (k1,η)$$ \left({k}_1,\eta \right) $$‐Hilfer and (k2,ϕ)$$ \left({k}_2,\phi \right) $$‐Hilfer Fractional Derivatives for the Fractional Navier Problem 2025-05-02 Mohammed Kouidri Brahim Tellab Abdelkader Amara Khaled Zennir Said Zibar
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On Analysis of Single Solution for a Class of BVP with Generalized Caputo-Katugampola Fractional Derivative 2025-05-01 Nabil Mlaiki Zouaoui Bekri Vedat Suat Ertürk Mohammad Esmael Samei Salma Haque
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Some Robust Numerical Schemes and Analysis for Solving Time Fractional Nagumo Equation 2025-05-03 Sobin Thomas S. Karthik Suresh Kumar Nadupuri
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Optimal control of a diffusive epidemiological model involving the Caputo–Fabrizio fractional time-derivative 2025-05-01 Achraf Zinihi Moulay Rchid Sidi Ammi Matthias Ehrhardt
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Existence and multiplicity of solutions for subquadratic fractional Hamiltonian systems 2025-05-03 Mohsen Timoumi
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Unique Solution Analysis for Generalized Caputo-Type Fractional BVP via Banach Contraction 2025-05-02 Zouaoui Bekri Sarah Aljohani Mohammad Esmael Samei Ali Akg ̈ul Abdelkader Belhenniche Ahmad Aloqaily Nabil Mlaiki
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A game interpretation for the weighted <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si7.svg" display="inline" id="d1e41"><mml:mi>p</mml:mi></mml:math>-Laplace equation 2025-05-05 Mamoru Aihara
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Perturbed Caputo fractional Moreau’s sweeping process: existence, uniqueness, and numerical simulations 2025-05-05 Maria Ihsane El Bahi Zakaria Faiz Hicham Benaissa J. Vanterler da C. Sousa K. Hilal
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Existence, nonexistence and multiplicity of bounded solutions to a nonlinear BVP associated to the fractional Laplacian 2025-05-05 José Carmona Rubén Fiñana Aránega
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Spectral criteria for the asymptotic constancy of solutions to implicit difference equations 2025-05-05 Xuan‐Quang Bui Vu Trong Luong Nguyen Duong Toan Nguyen Ngoc Vien
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A novel approach to Caputo–Hadamard pantograph problems in $\mathfrak{L}^{\mathsf{p}}$-spaces 2025-05-05 Gunaseelan Mani P. Ganesh Kokila Kannan Maryam Ali Alghafli Nabil Mlaiki
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A New Exact Method for Bi-level Linear Fractional Problems with Multi-valued Optimal Reaction Maps 2025-05-05 Flagot Yohannes Feleke Semu Mitiku Kassa
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On a System with Multiple Period Annuli 2025-05-05 A. Kirichuka Felix Sadyrbaev
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Controllability of (k,ϕ)$$ \left(k,\phi \right) $$‐Hilfer Fractional Differential Equation With Infinite Delay 2025-05-04 Ananta Thakur Javid Ali
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An existence results of a product type fractional functional integral equations using Petryshyn's fixed point theorem 2025-05-06 Sukanta Halder Deepmala Cemil Tunç
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Discrete Grönwall inequalities for demimartingales 2025-05-06 Milto Hadjikyriakou Б. Л. С. Пракаса Рао
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Ulam–Hyers–Rassias Stability of ψ-Hilfer Volterra Integro-Differential Equations of Fractional Order Containing Multiple Variable Delays 2025-05-06 John R. Graef Osman Tunç Cemil Tunç
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An Exploration of the Qualitative Analysis of the Generalized Pantograph Equation with the q-Hilfer Fractional Derivative 2025-05-06 R. Vivek K. Kanagarajan D. Vivek Turki D. Alharbi E. M. Elsayed
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Sufficient Conditions for Optimal Stability in Hilfer–Hadamard Fractional Differential Equations 2025-05-06 Safoura Rezaei Aderyani Reza Saadati Donal O’Regan
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A New Numerical Technique for Solving Fractional Integro-Differential Equations in Fuzzy Space 2025-05-06 Ihab Hadi Jumhaa Hussein Jabbar Mohammed Adil K Bagheedh Uday J. Quaez
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Solution of non-autonomous impulsive evolution equation in reflexive Banach spaces 2025-05-06 Weifeng Ma
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Relative Controllability and Finite Interval Stability of Impulsive Fractional Order Switched Delay Differential System with Nonlinear Perturbation 2025-05-06 P. K. Lakshmi Priya K. Kaliraj
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Fractional neutral integro-differential dynamical systems with periodic BVPs 2025-05-07 Selvi Sellappan Emimal Navajothiai
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Qualitative Analysis of A Third-order Fuzzy Riccati Difference Equation 2025-05-01 Lian Li Changyou Wang Lili Jia Teng Xu
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A study on the existence of unique stable approximate solutions: fractal-fractional-based model of an energy supply–demand system 2025-05-07 Salah Boulaaras Tanzeela Kanwal İbrahim Avcı Sina Etemad Zaher Mundher Yaseen‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬‬
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Qualitative analysis for k-fractional integral boundary value problems of quasilinear equation with p-Laplacian operator 2025-05-07 Bo Zhang Xiaohui Shen Tengfei Shen
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Theoretical analysis and applications of fixed-point theorems in delay fractional differential equations 2025-05-07 Mohamed Balegh Ahmed Ghezal
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A study on solvability and an iterative method for infinite systems of fractional integro-differential equations 2025-05-07 Rahul Rahul Sukanta Halder Manochehr Kazemi Mohammad Esmael Samei
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EXISTENCE OF SOLUTIONS FOR THE FRACTIONAL KIRCHHOFF PARABOLIC EQUATION WITH LOGARITHMIC NONLINEARITY 2025-05-07 Ihya Talibi Brahim El Boukari Jalila El Ghordaf
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Existence of multiple weak solutions for a class of fractional boundary value problems with Laplace operator 2025-05-08 Pu Wang
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Ulam-Hyers-Rassias stability for fractional stochastic impulsive differential equations driven by time-changed Brownian motion followed by credit risk modeling 2025-05-08 Dimplekumar Chalishajar Dhanalakshmi Kasinathan Ravikumar Kasinathan Ramkumar Kasinathan
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Exploration of Some Novel Integral Inequalities Pertaining to the New Class of (&lt;i&gt;k, ρ&lt;/i&gt;)-Conformable Fractional Integrals 2025-05-09 Warda Gauhar Rahman Muhammad Samraiz Salma Haque Nabil Mlaiki
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Lotka-Voterra competition model with nonlocal coefficient diffusion 2025-05-09 Marcos Antonio Viana Costa Cristian Morales-Rodrigo António Suárez
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Solutions behavior of mechanical oscillator equations with impulsive effects under Power Caputo fractional operator and its symmetric cases 2025-05-09 Hicham Saber Mohammed A. ‬Almalahi Mohamed Bouye Khaled Aldwoah Abdelkader Moumen Blgys Muflh