New Approaches to Solving Initial Value Problems of Mixed Differential Equations

Mohammed Said Souid, Souad Guedim, Salah Boularas, Amar Benkerrouche, Abdelkader Amara, Taha Radwan, Rashid Jan

Abstract


An initial value problem with mixed (ordinary and fractional) derivatives for non-autonomous variable order differential equations is provided. We examine the existence and uniqueness, in addition to the Ulam-Hyers stability of the solutions of our problem. Lastly, we present the findings from numerical examples.

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