New frame of fractional neutral ABC-derivative with IBC and mixed delay

Kottakkaran Sooppy Nisar, K. Logeswari, C. Ravichandran and S. Sabarinathan

Chaos, Solitons & Fractals, 2023, vol. 175, issue P2

Abstract: In this manuscript, we describe fractional differential equations with neutral, integral boundary conditions and mixed delay using Atangana–Baleanu derivatives, which include the generalized Mittag-Leffler kernel. We determine the existence and uniqueness of results and analysis by fixed point method. Moreover, we explained the stability of the fractional differential equation in the frame of Ulam–Hyers. Then, we investigate an example with various values and illustrate the outcomes graphically.

Keywords: Fractional calculus; Neutral equations; AB-derivative; Fixed point techniques; Delay; Boundary condition (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:175:y:2023:i:p2:s0960077923009517

DOI: 10.1016/j.chaos.2023.114050

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