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EXISTENCE RESULTS FOR MULTI-TERM FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS INVOLVING ATANGANA-BALEANU DERIVATIVE
Journal article   Open access  Peer reviewed

EXISTENCE RESULTS FOR MULTI-TERM FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS INVOLVING ATANGANA-BALEANU DERIVATIVE

Ahsan Abbas, Nayyar Mehmood, Ali Akgul, Thabet Abdeljawad and Manar A. Alqudah
Fractals (Singapore), Vol.31(2)
01/01/2023
DOI: https://doi.org/10.1142/S0218348X23400248

Abstract

Mathematics Mathematics, Interdisciplinary Applications Multidisciplinary Sciences Physical Sciences Science & Technology Science & Technology - Other Topics
In this paper, the existence results for the solutions of the multi-term ABC-fractional differential boundary value problem (BVP) (delta(2)0(ABC)D(alpha+2) + delta( 1)0(ABC)D(alpha+1) + delta (0)0(ABC)D(alpha))x(t) = zeta(t,x(t))of order 0 < alpha < 1 with nonlocal boundary conditions have been derived by using Krasnoselskii's fixed point theorem. The uniqueness of the solution is obtained with the help of Banach contraction principle. Examples are provided to confirm our obtained results.
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