Existence results for fractional neutral differential inclusion via deformable fractional derivative in Banach spaces

Authors

  • chool of Sciences, Arts, Media \& Management, Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore-641114, Tamil Nadu, India.
  • School of Sciences, Arts, Media \& Management, Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore-641114, Tamil Nadu, India.
  • College of Engineering, Science and Mathematics, Daytona Beach, FL 32114, USA.
  • School of Arts, Science and Humanities, SASTRA Deemed to be University, Thanjavur-613401, Tamil Nadu, India.

Abstract

The purpose of this paper is to establish the existence results for fractional neutral differential inclusion [$\p$] via deformable fractional derivative [$\d$] in Banach spaces. The investigation is valid for both convex and non-convex values in the set-valued (multi-valued) function. Additionally, we provide applications of our abstract theory as examples to support our findings.

Published

2023-05-23

How to Cite

Existence results for fractional neutral differential inclusion via deformable fractional derivative in Banach spaces. (2023). Nonlinear Studies, 30(2). https://nonlinearstudies.com/index.php/nonlinear/article/view/3248