Problem Involving the Riemann–Liouville Derivative and Implicit Variable-Order Nonlinear Fractional Differential Equations

Zoubida Bouazza, Mohammed Said Souid, Hatıra Günerhan, Ali Shokri and Eulalia Mart Nez

Complexity, 2024, vol. 2024, 1-14

Abstract: The problem of boundary values for implicit differential equations with nonlinear fractions involving the variable order and the Riemann–Liouville derivative is examined in this article along with its existence and stability. Specifically, the locally solvability, which is equivalent to the existence of solutions, is related to the symmetry of a transformation of a nonlinear equations system. To demonstrate the reliability of the found results, we design an example.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:5595720

DOI: 10.1155/2024/5595720

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