Boundary Value Problems for Fractional Differential Equations

Abstract

The sufficient conditions are established for the existence of solutions for a class of boundary value problems for fractional differential equations involving the Caputo fractional derivative.

Existence and stability analysis of solution for fractional delay differential equations

“…Proof Let ϑ be a solution to (2). We indicate υ as a unique solution to the following problem by Theorem 1,…”

Solvability of Dirichlet Problem For a Fractional Partial Differential equation by using energy inequality and Faedo-Galerkin method

“…Recently, there has been a significant development in fractional differential and partial differential equations (see, e.g., [7] and the references therein).…”

Boundary value problems for Hadamard-Caputo implicit fractional differential inclusions with nonlocal conditions

“…There are numerous applications in viscoelasticity, electrochemistry, electromagnetism, etc. For basic details of the fractional calculus including some applications and recent results, we recommend the monographs of Kilbas et al [22], Podlubny [24], and the papers of Agarwal et al [5,6], Momani et al [23], Guerraiche et al [19,20], and the references therein.…”