Sequential fractional order Neutral functional Integro differential equations on time scales with Caputo fractional operator over Banach spaces-Reference-Cited by-同舟云学术

Sequential fractional order Neutral functional Integro differential equations on time scales with Caputo fractional operator over Banach spaces

Published:2022 Issue:3 Volume:8 Page:5934-5949
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Morsy Ahmed¹,Nisar Kottakkaran Sooppy¹,Ravichandran Chokkalingam²,Anusha Chandran²

Affiliation:

1. Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia

2. Department of Mathematics, Kongunadu Arts and Science College (Autonomous), Coimbatore 641029, Tamil Nadu, India

Abstract

<abstract><p>In this work, we scrutinize the existence and uniqueness of the solution to the Integro differential equations for the Caputo fractional derivative on the time scale. We derive the solution of the neutral fractional differential equations along the finite delay conditions. The fixed point theory is demonstrated, and the solution depends upon the fixed point theorems: Banach contraction principle, nonlinear alternative for Leray-Schauder type, and Krasnoselskii fixed point theorem.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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