The Existence of Solution to Fractional Boundary Value Problem with Riemann-Liouville Type History-State-Based Variable-Order Derivative
نویسندگان
چکیده
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 thoerem, we prove existence uniqueness in Hölder space. Lastly, two examples are given show applicability theorems.
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ژورنال
عنوان ژورنال: Contemporary mathematics
سال: 2022
ISSN: ['2705-1056', '2705-1064']
DOI: https://doi.org/10.37256/cm.3420221652