On a Mixed Nonlinear Fractional Boundary Value Problem with a New Class of Closed Integral Boundary Conditions

In this paper, we investigate the existence of solutions for a fractional integro-differential equation with mixed nonlinearities subject to a new class of nonlocal closed integral boundary conditions. The proposed problem contains a right Liouville–Caputo fractional derivative operator and mixed Ri...

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Bibliographic Details
Published in:Qualitative theory of dynamical systems 2023-09, Vol.22 (3), Article 96
Main Authors: Ahmad, Bashir, Alnahdi, Manal, Ntouyas, Sotiris K., Alsaedi, Ahmed
Format: Article
Language:English
Subjects:
Boundary conditions
Boundary value problems
Derivatives
Difference and Functional Equations
Differential equations
Dynamical Systems and Ergodic Theory
Fixed points (mathematics)
Integrals
Mathematics
Mathematics and Statistics
Nonlinearity
Operators (mathematics)
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Summary:In this paper, we investigate the existence of solutions for a fractional integro-differential equation with mixed nonlinearities subject to a new class of nonlocal closed integral boundary conditions. The proposed problem contains a right Liouville–Caputo fractional derivative operator and mixed Riemann-Liouville integral operators. The standard fixed point theorems are applied to derive the desired results, which are well-illustrated with examples. Some interesting observations are presented.
ISSN:1575-5460
1662-3592
DOI:10.1007/s12346-023-00781-4