Existence and uniqueness of solutions for a mixed p-Laplace boundary value problem involving fractional derivatives

Abstract

In this article, the existence and uniqueness of solutions for a multi-point fractional boundary value problem involving two different left and right fractional derivatives with p-Laplace operator is studied. A novel approach is used to acquire the desired results, and the core of the method is Banach contraction mapping principle. Finally, an example is given to verify the results.

Existence Results for $\aleph$-Caputo Fractional Boundary Value Problems with $p$-Laplacian Operator

“…In the realm of fractional calculus, the ℵ-Caputo fractional derivatives [1][2][3][4][5][6] have recently emerged as a powerful tool for capturing complex dynamics with non-local memory effects. This, combined with the influence of the p-Laplacian operator [7][8][9], has opened up new avenues for investigating the behavior of systems characterized by fractional derivatives [10][11][12] and nonlinearity.…”