Fractional radioactive decay law and Bateman equations

Carlos-Antonio Cruz-López, Gilberto Espinosa-Paredes

Type: Article

Publication Date: 2021-07-20

Citations: 19

DOI: https://doi.org/10.1016/j.net.2021.07.026

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DOAJ (DOAJ: Directory of Open Access Journals) - View
Nuclear Engineering and Technology - View

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+	General solution of Bateman equations using Cauchy products and the Theory of Divided Differences	2024	Carlos-Antonio Cruz-López Gilberto Espinosa-Paredes Juan‐Luis François
+	A New Solution of the Fractional Neutron Point Kinetics Equations Using Symmetry and the Heaviside's Expansion Formula	2023	Carlos Antonio Cruz-López Gilberto Espinosa-Paredes
+	Numerical investigation of fractional order chaotic systems using a new modified Runge-Kutta method	2024	A Sai Lekshmi V. Balakumar
+	General Solution of Bateman Equations Using Cauchy Products and the Theory of Divided Differences	2023	Carlos Antonio Cruz-López Gilberto Espinosa-Paredes Juan‐Luis François
+	Closed-form solution for a mathematical extension of the multi-term fractional Bateman equations via Mikusiński operational method	2024	Marc Jornet
+	A numerical study of fractional population growth and nuclear decay model	2022	Sara Salem Alzaid Pawan Kumar Shaw Sunil Kumar
+	A new solution of the fractional neutron point kinetics equations using symmetry and the Heaviside's expansion formula	2024	Carlos-Antonio Cruz-López Gilberto Espinosa-Paredes
+	Theory on Linear L-Fractional Differential Equations and a New Mittag–Leffler-Type Function	2024	Marc Jornet
+	On the random fractional Bateman equations	2023	Marc Jornet
+	A new population model for urban infestations	2023	Julia Calatayud Marc Jornet Jorge Mateu Carla M. A. Pinto

Works Cited by This (28)

Action	Title	Year	Authors
+	The Fractional Calculus - Theory and Applications of Differentiation and Integration to Arbitrary Order	1974	Keith B. Oldham Jerome Spanier
+	Laplace transform and fractional differential equations	2011	Kexue Li Jigen Peng
+	Modified Bateman solution for identical eigenvalues	2012	Raymond Dreher
+	A FRACTIONAL CALCULUS APPROACH TO INVESTIGATE THE ALPHA DECAY PROCESSES	2013	Abdullah Engin Çalık Hüseyin Ertik Buket Öder Hüseyin Şirin
+	Consequences of the Memoryless Property for Random Variables	1987	Roger B. Nelsen
+ PDF Chat	Some fractional integral formulas for the Mittag-Leffler type function with four parameters	2015	Praveen Agarwal Juan J. Nieto
+ PDF Chat	CERTAIN INTEGRALS ASSOCIATED WITH GENERALIZED MITTAG-LEFFLER FUNCTION	2017	Praveen Agarwal Junesang Choi Shilpi Jain Mohammad Mehdi Rashidi
+	Some Comprehensive Inequalities Consisting of Mittag-Leffler Type Functions in the Complex Plane	2017	Hüseyi̇n Irmak Praveen Agarwal
+	Pathway Fractional Integral Operator Associated with 3m-Parametric Mittag-Leffler Functions	2018	Shilpi Jain Praveen Agarwal Adem Kılıçman
+ PDF Chat	Generalized Memory: Fractional Calculus Approach	2018	Vasily E. Tarasov