Non-existence of Global Solutions for a Generalized Fractional Differential Problem

2018/08/09 by Sandeep P. Bhairat, Bhairat, Sandeep P
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.1808.03095

openalex publication_date 2018/08/09 · openalex created_date 2018/08/22 · openalex updated_date 2026/07/28

Abstract

Aim of this paper is to study the non-existence of global solutions of the fractional differential problem involving generalized Katugampola derivative. We utilize the test function method and fractional integration by parts formula to obtain the result. An illustrative example is also given.

Citations

• Existence and Uniqueness results for a class of Generalized Fractional\n Differential Equations
• Hilfer-Katugampola fractional derivative

Related

• Existence and Stability of Fractional Differential Equations Involving Generalized Katugampola Derivative
• Existence and Continuation of Solutions of Hilfer-Katugampola-Type Fractional Differential Equations
• New Approach to Existence of Solution of Weighted Cauchy-type Problem
• On Stability of Generalized Cauchy-type Problem
• Fractional differential equations with dependence on the\n Caputo-Katugampola derivative