Multiterm Impulsive Caputo–Hadamard Type Differential Equations of Fractional Variable Order
Copyright policy )Multiterm Impulsive Caputo–Hadamard Type Differential Equations of Fractional Variable Order
In this study, we deal with an impulsive boundary value problem (BVP) for differential equations of variable fractional order involving the Caputo–Hadamard fractional derivative. The fundamental problems of existence and uniqueness of solutions are studied, and new existence and uniqueness results are established in the form of two fixed point theorems. In addition, Ulam–Hyers stability sufficient conditions are proved illustrating the suitability of the derived fundamental results. The obtained results are supported also by an example. Finally, the conclusion notes are highlighted.
- Université IBN Khaldoun Tiaret Algeria
- The University of Texas at San Antonio United States
- Ziane Achour University of Djelfa Algeria
variable order, impulses, existence of solutions, Caputo–Hadamard fractional derivative, QA1-939, uniqueness, fixed point theorem, Ulam–Hyers stability, Mathematics
variable order, impulses, existence of solutions, Caputo–Hadamard fractional derivative, QA1-939, uniqueness, fixed point theorem, Ulam–Hyers stability, Mathematics
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