Existence and Continuation of Solutions of Hilfer-Katugampola-Type Fractional Differential Equations

2020/02/01 by Ahmad Y. A. Salamooni, Salamooni, Ahmad Y. A., D. D. Pawar +1
Mathematics · #26A33 #34A08 #34A12 #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2002.03778

openalex publication_date 2020/02/01 · openalex created_date 2020/02/14 · openalex updated_date 2026/07/28

Abstract

This article contains a new discussion for the generalized fractional Cauchy-type problem involving Hilfer-Katugampola-type fractional derivative. We study an existence and continuation of its solution. Firstly, we establish a new theorems of local existence. Then, we deduce a continuation theorems for a general fractional differential equations. By applying continuation theorems deduced in this article, we present several global existence results. Moreover, the examples are given to illustrate our main results.

Related

• Existence and continuation of solutions of Hilfer fractional differential equations
• Existence and uniqueness of solution of Cauchy-type problem for Hilfer fractional differential equations
• Existence and Stability of Fractional Differential Equations Involving Generalized Katugampola Derivative
• Non-existence of Global Solutions for a Generalized Fractional Differential Problem
• Hilfer-Katugampola fractional derivative