A new analytical modelling for fractional telegraph equation via Laplace transform

Sunil Kumar

Type: Article

Publication Date: 2013-12-17

Citations: 264

DOI: https://doi.org/10.1016/j.apm.2013.11.035

View Publication

Locations

Applied Mathematical Modelling - View

Similar Works

Action	Title	Year	Authors
+	An Approximate Analytical Solution for Time-Fractional Telegraph Equation by HPM	2012	Xindong Zhang Liu Juan Leilei Wei
+	An approximate analytical solution of time-fractional telegraph equation	2011	Subir Das K. Vishal Praveen Kumar Gupta Ahmet Yıldırım
+ PDF Chat	Analytical solution for the conformable fractional telegraph equation by Fourier method	2020	Saad ABDELKEBİR Nouiri Brahim
+	Analytical solution for the conformable fractional telegraph equation by Fourier method	2020	Saad ABDELKEBİR Nouiri Brahim
+	A Novel Technique to Solve Space and Time Fractional Telegraph Equation	2016	Muhammad Suleman Tarig M. Elzaki Jamshaid Ul Rahman Qingbiao Wu
+	Analytical solution for the time-fractional telegraph equation by the method of separating variables	2007	Jing Chen F. Liu Vo Anh
+	Efficient New Approximations for Space-Time Fractional Multi-dimensional Telegraph Equation	2022	Brajesh Kumar Singh Anil Kumar Mukesh Gupta
+	Numerical Study of Time-Fractional Telegraph Equations of Transmission Line Modeling	2022	Wang Kong Zhongyi Huang Zhongyi Huang
+	Numerical Approximation of Fractional Telegraph Equation via Legendre Collocation Technique	2021	Arvind Kumar Mishra Sushil Kumar A. K. Shukla
+	Application of Sumudu Transform in Two-Parameter Fractional Telegraph Equation	2016	Altaf Ahmad Farooq Ahmad S. K. Tripathi
+	Numerical approximation of higher-order time-fractional telegraph equation by using a combination of a geometric approach and method of line	2016	Mir Sajjad Hashemi Dumitru Băleanu
+	Semi-Analytical Solutions of Fractional Telegraph Equations by Using Yang Decomposition Method	2024
+	Analytical approach of Hilfer fractional order differential equations using iterative Laplace transform method	2022	Divya Raghavan J.F. Gómez‐Aguilar N. Sukavanam
+	Finite difference scheme for a fractional telegraph equation with generalized fractional derivative terms	2019	Kamlesh Kumar Rajesh K. Pandey Swati Yadav
+	A homotopy technique for a fractional order multi-dimensional telegraph equation via the Laplace transform	2019	Amit Prakash P. Veeresha D. G. Prakasha Manish Goyal
+	A note on “Analytical solution for the time-fractional telegraph equation by the method of separating variables”	2022	Xiaoxiao Geng Hao Cheng Wenping Fan
+	An effective semi-analytical method for solving telegraph equation with variable coefficients	2018	Ji Lin Yuxin He Sergiy Reutskiy Jun Lu
+	A Robust Iterative Approach for Space-Time Fractional Multidimensional Telegraph Equation	2023	Akshey Akshey Twinkle R. Singh
+	Modeling with Fractional Laplace Transform by Difference Operator	2020
+	Hybrid techniques for approximate analytical solution of space- and time-fractional telegraph equations	2022	Shweta Dubey Snehashish Chakraverty

Works That Cite This (238)

Action	Title	Year	Authors
+	Experimental Study of Fractional-Order RC Circuit Model Using the Caputo and Caputo-Fabrizio Derivatives	2021	Da Lin Xiaozhong Liao Lei Dong Ruocen Yang Samson S. Yu Herbert Ho‐Ching Iu Tyrone Fernando Zhen Li
+ PDF Chat	Traveling wave solutions of the time-delayed generalized Burgers-type equations	2016	Bo Tang Yingzhe Fan Xuemin Wang Jixiu Wang Shijun Chen
+	Kink, periodic, dark and bright soliton solutions of Kudryashov–Sinelshchikov equation using the improved tan$$\left( \frac{\phi (\eta )}{2}\right)$$-expansion technique	2021	Ghazala Akram Maasoomah Sadaf Mirfa Dawood
+ PDF Chat	Modeling and analysis of novel COVID-19 outbreak under fractal-fractional derivative in Caputo sense with power-law: a case study of Pakistan	2023	Khadija Tul Kubra Rooh Ali
+ PDF Chat	The Analytical Solution of Telegraph Equation of Space-Fractional Order Derivative by the Aboodh Transform Method	2020	Mohamed Elarbi Benattia Kacem Belghaba
+ PDF Chat	A note on soliton solutions of Klein-Gordon-Zakharov equation by variational approach	2016	Najeeb Alam Khan Fatima Riaz Asmat Ara
+ PDF Chat	Numerical solution of two-dimensional fractional differential equations using Laplace transform with residual power series method	2024	R. P. Pant Geeta Arora Brajesh Kumar Singh Homan Emadifar
+ PDF Chat	Electrical circuits RC and RL involving fractional operators with bi-order	2017	J.F. Gómez‐Aguilar R.F. Escobar-Jiménez V. H. Olivares-Peregrino M.A. Taneco-Hernández Gerardo Guerrero
+	Inverse problem for a fourth-order differential equation with the fractional Caputo operator	2024	D. K. Durdiev Askar Rahmonov
+	Inverse Problem for a Fourth-Order Differential Equation with the Fractional Caputo Operator	2024	D. K. Durdiev Askar Rahmonov

Works Cited by This (40)

Action	Title	Year	Authors
+	Fractional Calculus: Integral and Differential Equations of Fractional Order	2008	Rudolf Gorenflo Francesco Mainardi
+	Hamiltonian Chaos and Fractional Dynamics	2005	G. M. Zaslavskiǐ
+	Fractional Integrals and Derivatives: Theory and Applications	1993	Stefan Samko Anatoly A. Kilbas O. I. Marichev
+	Theory and Applications of Fractional Differential Equations	2006	Anatoly A. Kilbas H. M. Srivastava Juan J. Trujillo
+ PDF Chat	Approximate Solutions to Time-Fractional Schrödinger Equation via Homotopy Analysis Method	2012	Najeeb Alam Khan Muhammad Kamran Jamil Asmat Ara
+	Application of homotopy analysis method for fractional Swift Hohenberg equation – Revisited	2011	K. Vishal Sunil Kumar Subir Das
+	<i>Partial Differential Equations for Scientists and Engineers</i>	1985	Stanley J. Farlow Stephen F. Becker
+ PDF Chat	Beyond Perturbation: Introduction to the Homotopy Analysis Method	2004	Shijun Liao S. A. Sherif
+ PDF Chat	A General Approach to Obtain Series Solutions of Nonlinear Differential Equations	2007	Shijun Liao Yue Gang Tan
+	He's homotopy perturbation method for solving the space- and time-fractional telegraph equations	2010	Ahmet Yıldırım