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Existence results for sequential fractional integro-differential equations with nonlocal multi-point and strip conditions

In this paper we investigate a new kind of nonlocal multi-point boundary value problem of Caputo type sequential fractional integro-differential equations involving Riemann-Liouville integral boundary conditions. Several existence and uniqueness results are obtained via suitable fixed point theorems. Some illustrative examples are also presented. The paper concludes with some...

On fractional differential equations and inclusions with nonlocal and average-valued (integral) boundary conditions

This paper is concerned with the existence of solutions for boundary value problems of fractional differential equations and inclusions supplemented with nonlocal and average-valued (integral) boundary conditions. The existence results for the single-valued case (equations) are obtained by means of fixed point theorems due to O’Regan and Sadovski, whereas the existence of...

Hadamard-type fractional functional differential equations and inclusions with retarded and advanced arguments

In this paper, we establish sufficient conditions for the existence and uniqueness of solutions for boundary value problems of Hadamard-type fractional functional differential equations and inclusions involving both retarded and advanced arguments. We make use of the standard tools of fixed point theory to obtain the main results. MSC: 34A08, 34K05.

On Caputo type sequential fractional differential equations with nonlocal integral boundary conditions

Agarwal 0 Bashir Ahmad 0 0 Department of Mathematics, Faculty of Science, King Abdulaziz University , P.O. Box 80203, Jeddah, 21589 , Saudi Arabia This paper investigates a boundary value problem of

A nonlocal multi-point multi-term fractional boundary value problem with Riemann-Liouville type integral boundary conditions involving two indices

Ahmed Alsaedi 0 Sotiris K Ntouyas Ravi P Agarwal 0 Bashir Ahmad 0 0 Department of Mathematics, Faculty of Science, King Abdulaziz University , P.O. Box 80203, Jeddah, 21589 , Saudi Arabia In this

Existence of solutions for integro-differential equations of fractional order with nonlocal three-point fractional boundary conditions

In this paper, we study the existence of solutions for Riemann-Liouville type integro-differential equations of fractional order α ∈ ( 2 , 3 ] with nonlocal three-point fractional boundary conditions via Sadovskii’s fixed point theorem for condensing maps. An illustrative example is also presented. MSC:34A08, 34B10, 34B15.

Existence of solutions for integro-differential equations of fractional order with nonlocal three-point fractional boundary conditions

In this paper, we study the existence of solutions for Riemann-Liouville type integro-differential equations of fractional order α ∈ ( 2 , 3 ] with nonlocal three-point fractional boundary conditions via Sadovskii’s fixed point theorem for condensing maps. An illustrative example is also presented.MSC: 34A08, 34B10, 34B15.