On exact solutions of fractional differential-difference equations with Ψ-Riemann–Liouville derivative

Autor:	Rajagopalan Ramaswamy, Mohamed S. Abdel Latif, Amr Elsonbaty, Abas H. Abdel Kader
Rok vydání:	2022
Předmět:	Mechanics of Materials Applied Mathematics Modeling and Simulation Computational Mechanics General Physics and Astronomy Statistical and Nonlinear Physics Engineering (miscellaneous)
Zdroj:	International Journal of Nonlinear Sciences and Numerical Simulation.
ISSN:	2191-0294 1565-1339
DOI:	10.1515/ijnsns-2021-0166
Popis:	The aim of this work is to modify the invariant subspace method (ISM) in order to obtain closed form solutions of fractional differential-difference equations with Ψ-Riemann–Liouville (Ψ-RL) fractional derivative for first time. We have investigated the cases of two-dimensional and the three-dimensional invariant subspaces (ISs) in the suggested scheme. Using the modified ISM, new exact generalized solutions for the general fractional mKdV Lattice equation and the fractional Volterra lattice system are obtained. Compared with similar solution techniques in literature, the presented solution scheme is highly efficient and is capable to find new general exact solutions which cannot be attained by other methods.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f1751e912cae43940229b60e4ae6ddd4 https://doi.org/10.1515/ijnsns-2021-0166 Zobrazit plný text záznamu