Existence and uniqueness results for Ψ-fractional integro-differential equations with boundary conditions

Devaraj Vivek; E.M. Elsayed; Kuppusamy Kanagarajan

doi:10.2298/PIM2021145V

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$Existence and uniqueness results for Ψ-fractional integro-differential equations with boundary conditions$

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Existence and uniqueness results for Ψ-fractional integro-differential equations with boundary conditions

Devaraj Vivek, E.M. Elsayed and Kuppusamy Kanagarajan

Publications de l'Institut mathématique (Belgrade), Vol.107(121), pp.145-155

2020

DOI: https://doi.org/10.2298/PIM2021145V

Abstract

We study boundary value problems (BVPs for short) for the integro- differential equations via ?-fractional derivative. The results are obtained by using the contraction mapping principle and Schaefer?s fixed point theorem. In addition, we discuss the Ulam-Hyers stability. nema

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Title: Existence and uniqueness results for Ψ-fractional integro-differential equations with boundary conditions
Creators - without role: Devaraj Vivek - PSG INSTITUTE OF TECHNOLOGY AND APPLIED RESEARCH
E.M. Elsayed - Mansoura University
Kuppusamy Kanagarajan - Ramakrishna Mission Vidyalaya
Publication Details: Publications de l'Institut mathématique (Belgrade), Vol.107(121), pp.145-155
Identifiers: 9936418508331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article