Boundary value problems for deformable fractional  differential inclusion   in Banach spaces

K.M. Anjitha; V. Kavitha; S. Sivasundaram; M. Mallika Arjunan

K.M. Anjitha School of Sciences, Arts, Media \& Management, Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore-641114, Tamil Nadu, India.
V. Kavitha School of Sciences, Arts, Media \& Management, Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore-641114, Tamil Nadu, India.
S. Sivasundaram College of Engineering, Science and Mathematics, Daytona Beach, FL 32114, USA.
M. Mallika Arjunan School of Arts, Science and Humanities, SASTRA Deemed to be University, Thanjavur-613401, Tamil Nadu, India.

Abstract

This paper is concerned with the existence of solutions for deformable fractional differential inclusion [$\p$] with boundary conditions in Banach spaces. In the set-valued (multi-valued) function, the investigation is reliable for both convex and non-convex values. In addition, we illustrate our results via applications of our abstract theory.