Results on neutral differential equation of sobolev type with nonlocal conditions

K. Kalimuthu, M. Mohan, R. Chokkalingam and Kottakkaran Sooppy Nisar

Chaos, Solitons & Fractals, 2022, vol. 158, issue C

Abstract: In this work, we analyse the study of neutral fractional differential equation in an arbitrary Hilbert space. An associated integral equation is studied and approximate integral equation is obtained. We demonstrate the existence and uniqueness of an approximate solution by using analytic semigroup theory and the Fixed point method. In the application part, we discuss the approximation and the convergence results for such an approximation.

Keywords: Fractional differential equation; Analytic semigroup; Fixed point theorem; Nonlocal conditions; Faedo Galerkin approximation; Sobolev type (search for similar items in EconPapers)
JEL-codes: K40 (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:158:y:2022:i:c:s0960077922002703

DOI: 10.1016/j.chaos.2022.112060

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