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Title
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Fixed Point Theory and the Liouville–Caputo Integro-Differential FBVP with Multiple Nonlinear Terms
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Type
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JournalPaper
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Keywords
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Liouville–Caputo Integro-Differential; Multiple Nonlinear Terms; Fixed Point Theory
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Abstract
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This work is reserved for the study of a special category of boundary value problems (BVPs) consisting of Liouville–Caputo integro-differential equations with multiple nonlinear terms. +is fractional model and its boundary value conditions (BVCs) involve different simple BVPs, in which the second BVC as a linear combination of two Caputo derivatives of the unknown function equals a nonzero constant. +e Banach principle gives a unique solution for this Liouville–Caputo BVP. Further, the Krasnoselskii and Leray–Schauder criteria give the existence property regarding solutions of the mentioned problem. For each theorem, we provide an example based on the required hypotheses and derive numerical data in the framework of tables and figures to show the consistency of results from different points of view.
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Researchers
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Reny George (Not In First Six Researchers), Brahim Tellab (Third Researcher), Ali Boulfoul (Second Researcher), Sina Etemad (Fifth Researcher), Mohammad Esmael Samei (Fourth Researcher), shahram Rezapour (First Researcher)
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