This paper is concerned with the existence of solutions for a non local fractional boundary value problem with integral conditions. New existence and uniqueness results are established using Banach fixed point theorem. ...

This paper studies the existence of solutions for a coupled system of nonlinear fractional di erential equations. New existence and uniqueness results are established using Banach xed point theorem. Other existence ...

In this paper we study a coupled system of nonlinear differential equations of two arbitrary orders α,β ∈ R + − N . New existence and uniqueness results are established using Banach fixed point ...

In this paper, we prove the existence of solutions for fractional coupled systems of integro-di erential equations in Banach spaces. The results are obtained using fractional calculus and xed point theorems. Some concrete ...

This paper studies the existence of solutions for a coupled system of nonlinear fractional integro-di ff erential equations involving Riemann-Liouville integrals with several continuous functions. New ...

New results and new applications of fractional calculus for continuous random variables are presented. Some classical integral results are also generalized. On the other hand, some results (corollaries) on the paper ...

By introducing the fractional derivative in the sense of Caputo, we apply the Adomian decomposition method for the coupled Lotka-Volterra equations with time-and space-fractional derivative. As a result, numerical solutions ...

In this paper, we study the existence of solutions for fractional evolution equations with nonlocal conditions. These results are obtained using Banach contraction xed point theorem. Other results are also presented ...

In this paper, we establish some new integral inequalities for convex functions by using the Riemann-Liouville operator of non integer order. For our results some classical integral inequalities can ...

This paper studies the existence of solutions for a weighted system of nonlinear fractional integro-differential equations. New existence and uniqueness results are established using the Banach fixed point theorem. Other ...