We consider a class of boundary value problems for linear multi-term fractional differential
equations which involve Caputo-type fractional derivatives. Using an integral equation …

We are concerned with the existence of solutions for the singular fractional boundary value
problem ^c\kern-1ptD^αu=f(t,u), u (0)+ u (1)= 0, u′(0)= 0, where α∈(1, 2), f∈ C (0, 1×(ℝ∖ …

In this article, we study the existence result for a boundary value problem (BVP) of hybrid
fractional sequential integro-differential equations. A fixed point theorem provided by Dhage …

We consider a class of boundary value problems for linear fractional weakly singular integro-
differential equations which involve Caputo-type derivatives. Using an integral equation …

In this work, we discuss the existence and uniqueness of solution for a boundary value
problem for the Langevin equation and inclusion with the Hilfer fractional derivative. First of …

EXISTENCE OF SOLUTIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS WITH
FRACTIONAL-ORDER DERIVATIVE TERMS 1. Introduction Page 1 Journal of Applied Analysis …

In this article, we present some new existence and uniqueness results for nonlinear
fractional integro-differential equations with m-point multi-term fractional order integral …

This paper deals with the existence and uniqueness of solution for a coupled system of
Hilfer fractional Langevin equation with non local integral boundary value conditions. The …

We study legendre polynomials in case of more than one variable and develop new
operational matrices of fractional order integrations as well as fractional order …

In this paper, we present new results for a coupled system of fractional differential equations.
Applying Banach contraction principle and Schaefer fixed point theorem, new existence and …