Symmetry Analysis of Initial and Boundary Value Problems for Fractional Differential Equations in Caputo sense

2019/03/19 by Gulistan Iskenderoglu, Gülistan İskenderoğlu, Dogan Kaya +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Fractional Differential Equations Solutions #Nonlinear Waves and Solitons #math-ph #math.AP #math.MP

paper · pdf · doi:10.1016/j.chaos.2020.109684

arxiv created 2019/03/19 · openalex publication_date 2020/02/21 · arxiv updated 2020/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

In this work we study Lie symmetry analysis of initial and boundary value problems for partial differential equations (PDE) with Caputo fractional derivative. We give generalized definition and theorem for the symmetry method for PDE with Caputo fractional derivative, according to Bluman's definition and theorem for the symmetry analysis of PDE system. We investigate the symmetry analysis of initial and boundary value problem for fractional diffusion and the third order fractional partial differential equation (FPDE). Also we give some solutions.

Citations

• Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales

Cited by

• Implicit Fractional Differential Equations in Banach Spaces via Picard and Weakly Picard Operator Theory

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