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Mathematical Modelling and Analysis Volume 22, 2017 - Issue 2
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Original Articles

A Study of Nonlinear Fractional-Order Boundary Value Problem with Nonlocal Erdélyi-Kober and Generalized Riemann-Liouville Type Integral Boundary Conditions

Bashir AhmadNonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, P.O. Box 80203, Jeddah21589, Saudi ArabiaCorrespondence[email protected]
,
Sotiris K. NtouyasUniversity of Ioannina, Department of Mathematics, 451 10Ioannina, Greece;Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, P.O. Box 80203, Jeddah21589, Saudi Arabia
,
Jessada TariboonNonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s, University of Technology North Bangkok, Bangkok, 10800Thailand
&
Ahmed AlsaediNonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, P.O. Box 80203, Jeddah21589, Saudi Arabia
Pages 121-139 | Received 07 Apr 2016, Published online: 18 Mar 2017
 
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Abstract

We investigate a new kind of nonlocal boundary value problems of nonlinear Caputo fractional differential equations supplemented with integral boundary conditions involving Erdélyi-Kober and generalized Riemann-Liouville fractional integrals. Existence and uniqueness results for the given problem are obtained by means of standard fixed point theorems. Examples illustrating the main results are also discussed.

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Related Research Data

Existence results for fractional order differential equation with nonlocal Erdélyi–Kober and generalized Riemann–Liouville type integral boundary conditions at resonance
Source: SpringerOpen
Existence results for multi-term fractional differential equations with nonlocal multi-point and multi-strip boundary conditions
Source: Springer Science and Business Media LLC
A Study of Fractional Differential Equations and Inclusions with Nonlocal Erdélyi–Kober Type Integral Boundary Conditions
Source: Springer Science and Business Media LLC
Existence theory for fractional differential equations with non-separated type nonlocal multi-point and multi-strip boundary conditions
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