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Existence of mild solutions for ξ-Caputo fractional integro-differential evolution problems

Abstract

The aim of this paper is to investigate the existence of mild solutions to a nonlocal ?-Caputo fractional semilinear integro-differential evolution equation in any arbitrary Banach space. The existence of the results is proved by using the fixed point theorem for condensing maps. To illustrate our theoretical results, a non-trivial example is given as an application.

Research topics

  • Nonlinear Differential Equations Analysis
  • Fractional Differential Equations Solutions
  • Fixed Point Theorems Analysis

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DOI: 10.2298/fil2526087b

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