The Existence of Solution to Fractional Boundary Value Problem with Riemann-Liouville Type History-State-Based Variable-Order Derivative
DOI:
https://doi.org/10.37256/cm.3420221652Keywords:
fractional differential equations, Riemann-Liouville type variable-order derivative, boundary value problem, existence of solution, Hölder spaceAbstract
The paper is devoted to studying the solutions of boundary value problem for nonlinear fractional differential equation with Riemann-Liouville type history-state-based variable-order derivative. Using Schauder fixed point theorem and Banach fixed point thoerem, we prove the existence and uniqueness of solutions in the Hölder space. Lastly, two examples are given to show the applicability of the existence theorems.
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Published
2022-11-19
How to Cite
1.
Zhang S, Wang J. The Existence of Solution to Fractional Boundary Value Problem with Riemann-Liouville Type History-State-Based Variable-Order Derivative. Contemp. Math. [Internet]. 2022 Nov. 19 [cited 2024 Dec. 10];3(4):525-51. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/1652
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Research Article