New Approach to Existence of Solution of Weighted Cauchy-type Problem

2018/08/09 by Bhairat, Sandeep Pandurang
#26A33 #26D10 #34A08 #40A30 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1808.03067

Abstract

We consider a singular fractional differential equation involving generalized Katugampola derivative and obtain the existence and uniqueness of its solution. A scheme for uniformly approximating solution is constructed by using Picard iterative techniques. Illustrative example is also given.

Related

• Non-existence of Global Solutions for a Generalized Fractional Differential Problem
• On Stability of Generalized Cauchy-type Problem
• Existence and Stability of Fractional Differential Equations Involving Generalized Katugampola Derivative
• Existence and Continuation of Solutions of Hilfer-Katugampola-Type Fractional Differential Equations
• Fractional differential equations with dependence on the\n Caputo-Katugampola derivative