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

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 metho...

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Bibliographic Details
Published in:Chaos, solitons and fractals solitons and fractals, 2023-10, Vol.175, p.114050, Article 114050
Main Authors: Nisar, Kottakkaran Sooppy, Logeswari, K., Ravichandran, C., Sabarinathan, S.
Format: Article
Language:English
Subjects:
AB-derivative
Boundary condition
Delay
Fixed point techniques
Fractional calculus
Neutral equations
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Summary: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. •We consider the nonlinear fractional mixed integro-differential equations with fractional boundary conditions.•The existence result is obtained by using standard fixed point theory.•An example is given to illustrate our analytical and numerical results. By using MATLAB coding graph is drawn.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2023.114050