SOLVING BOUNDARY VALUE PROBLEMS FOR NONLINEAR FRACTIONAL FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS
Published 2023-09-25
Keywords
- Fractional calculus,
- Functional differential equations,
- fixed point theorem,
- Caputo fractional derivative,
- Boundary value problems.
How to Cite
Copyright (c) 2023 Top Academic Journal of Engineering and Mathematics
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Abstract
The field of fractional calculus has seen remarkable developments in recent years, accompanied by the application of fractional differential equations in diverse domains such as automatic control theory, biology, and viscoelasticity. These equations offer a more accurate representation of real-world phenomena by considering not only the current state of a system but also its past state and the rate of state change. Functional differential equations, in particular, have found extensive applications in signal recognition, economics, physics, and other fields
References
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- Song, L. (2014) Existence of positive solutions for boundary value problems of fractional functional differential equations. Journal of Southwest Normal University (Natural Science Edition), 7, 1-7. [3] Nouri, K., Nazari, M., Torkzadeh, L. (2018) Existence results of solutions for some fractional neutral functional integro-differential equations with infinite delay. Pushpa Publishing House, Allahabad, India, 19, 49-67