Controllability of fractional differential evolution equation of order $ \gamma \in (1, 2) $ with nonlocal conditions-Reference-Cited by-同舟云学术

Controllability of fractional differential evolution equation of order $ \gamma \in (1, 2) $ with nonlocal conditions

Published:2023 Issue:6 Volume:8 Page:14188-14206
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Hussain Sadam¹,Sarwar Muhammad¹,Nisar Kottakkaran Sooppy²,Shah Kamal¹

Affiliation:

1. Department of Mathematics, University of Malakand, Chakdara Dir(L), Khyber Pakhtunkhwa, Pakistan

2. Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia

Abstract

<abstract><p>This paper investigates the existence of positive mild solutions and controllability for fractional differential evolution equations of order $ \gamma \in (1, 2) $ with nonlocal conditions in Banach spaces. Our approach is based on Schauder's fixed point theorem, Krasnoselskii's fixed point theorem, and the Arzelà-Ascoli theorem. Finally, we include an example to verify our theoretical results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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