Investigating existence results for fractional evolution inclusions with order <i>r</i> ∈ (1, 2) in Banach space-Reference-Cited by-同舟云学术

Investigating existence results for fractional evolution inclusions with order r ∈ (1, 2) in Banach space

Published:2022-07-07 Issue:0 Volume:0 Page:
ISSN:1565-1339
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Mohan Raja Marimuthu¹,Vijayakumar Velusamy¹^ORCID,Shukla Anurag²,Nisar Kottakkaran Sooppy³,Rezapour Shahram⁴⁵

Affiliation:

1. Department of Mathematics , School of Advanced Sciences, Vellore Institute of Technology , Vellore 632 014 , Tamilnadu , India

2. Department of Applied Science , Rajkiya Engineering College Kannauj , Kannauj 209732 , India

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

4. Department of Mathematics , Azarbaijan Shahid Madani University , Tabriz , Iran

5. Department of Medical Research , China Medical University Hospital, China Medical University , Taichung , Taiwan, ROC

Abstract

Abstract This manuscript investigates the issue of existence results for fractional differential evolution inclusions of order r ∈ (1, 2) in the Banach space. In the beginning, we analyze the existence results by referring to the fractional calculations, cosine families, multivalued function, and Martelli’s fixed point theorem. The result is also used to investigate the existence of nonlocal fractional evolution inclusions of order r ∈ (1, 2). Finally, a concrete application is given to illustrate our main results.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2021-0368/pdf

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