New Existence Results on R-L Fractional Derivative under Weak Topology Attribute

European Journal of Pure and Applied Mathematics 2026 Open access

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Authors: Ananthi Kantheeban, D Swathi, U. Karthik Raja, Kamal Shah, Thabet Abdeljawad
DOI: 10.29020/nybg.ejpam.v19i1.6932
Cited by: 0

Abstract

In this article, the research examines whether Riemann-Liouville-type fractional derivatives can be used to solve an initial value problem under weak topology conditions. As a way to prove the existence of integrable description and a new type of iteration of a Leray–Schauder nonlinear alternative for the weak topology, it will be demonstrated, and the given problem is first transformed into the sum of two integral operators, and then the modified version of Krasnoselskii’s fixed point hypothesis in weak topology is employed. Finally, an example is given to illustrate the effectiveness of our main findings.

Fields of Study & Subjects

Nonlinear Differential Equations Analysis Fuzzy Systems and Optimization Fractional Differential Equations Solutions

Publication details

Journal / source
European Journal of Pure and Applied Mathematics
Volume
19
Issue
1
Pages
6932–6932
Publication date
16 February 2026
Language
EN