Fractional-Order Integro-Differential Multivalued Problems with Fixed and Nonlocal Anti-Periodic Boundary Conditions
Open Access
- 14 October 2020
- journal article
- research article
- Published by MDPI AG in Mathematics
- Vol. 8 (10), 1774
- https://doi.org/10.3390/math8101774
Abstract
This paper studies a new class of fractional differential inclusions involving two Caputo fractional derivatives of different orders and a Riemann–Liouville type integral nonlinearity, supplemented with a combination of fixed and nonlocal (dual) anti-periodic boundary conditions. The existence results for the given problem are obtained for convex and non-convex cases of the multi-valued map by applying the standard tools of the fixed point theory. Examples illustrating the obtained results are presented.Keywords
Funding Information
- King Abdulaziz University (FP-17-42)
This publication has 22 references indexed in Scilit:
- Nonlinear Integro-Differential Equations Involving Mixed Right and Left Fractional Derivatives and Integrals with Nonlocal Boundary DataMathematics, 2020
- Fractional differential equation approach for convex optimization with convergence rate analysisOptimization Letters, 2019
- Extremal solutions for generalized Caputo fractional differential equations with Steiltjes-type fractional integro-initial conditionsApplied Mathematics Letters, 2019
- Nonlocal initial value problems for Hadamard-type fractional differential equations and inclusionsRocky Mountain Journal of Mathematics, 2018
- Convective flows of generalized time-nonlocal nanofluids through a vertical rectangular channelPhysics of Fluids, 2018
- New uniqueness results for boundary value problem of fractional differential equationNonlinear Analysis Modelling and Control, 2018
- Fractional-order differential equations with anti-periodic boundary conditions: a surveyBoundary Value Problems, 2017
- Logistic map with memory from economic modelChaos, Solitons, and Fractals, 2017
- Bifurcation from interval and positive solutions of the three-point boundary value problem for fractional differential equationsApplied Mathematics and Computation, 2014
- Fractional differential equations and related exact mechanical modelsComputers & Mathematics with Applications, 2013