Fractional variational calculus with the truncated M-series fractional derivative

El Hassan  El  Kinani; Brahim El Ansari; Abdelaziz  Ouhadan

doi:10.5269/bspm.75750

El Hassan El Kinani Laboratory of Mathematics, Analysis and Control of Systems, Department of Mathematics, Faculty of Sciences, Moulay Ismail University
Brahim El Ansari
Abdelaziz Ouhadan

Abstract

In this paper, we investigate a variational problem defined by a functional involving the truncated M-series fractional derivative of the dependent variable. The necessary optimality conditions are derived in the form of the Euler-Lagrange equation, and several illustrative examples are presented to highlight the results.

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