Existence of mild solutions for perturbed fractional neutral differential equations through deformable derivatives in Banach spaces

Author:

Sreedharan R.1ORCID,Raja Balachandar S.1,Raja S. P.2

Affiliation:

1. Department of Mathematics, School of Arts, Sciences, Humanities and Education, SASTRA Deemed University, Thanjavur, Tamilnadu 613401, India

2. School of Computer Science and Engineering, Vellore Institute of Technology, Vellore, Tamilnadu 632014, India

Abstract

The deformable derivative [[Formula: see text]] is used in this work to give the necessary restrictions for the existence of mild solutions for perturbed fractional neutral differential equations [PFNDE] in Banach spaces. Several novel existence results are made using fixed point and semigroup techniques. In the end, two numerical examples are given to illustrate the application of the theoretical concepts discussed.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Information Systems,Signal Processing

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