A Three Fractional Order Jerk EquationWith Anti Periodic Conditions
- Zoubir Dahmani,
- Meriem Mansouria BELHAMITI,
- Mehmet Zeki Sarikaya
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Zoubir Dahmani
Université Abdelhamid Ibn Badis de Mostaganem
Author ProfileMeriem Mansouria BELHAMITI
Université Abdelhamid Ibn Badis de Mostaganem
Author ProfileAbstract
We study a new Jerk equation involving three fractional derivatives and
anti periodic conditions. By Banach contraction principle, we present an
existence and uniqueness result for the considered problem. Then, by
applications of Krasnoselskii fixed point theorem, another result for
the existence of at least one solution is established. Also, An
illustrative example is discussed. At the end, an approximation for
Caputo derivaitive is proposed and some chaotic behaviours are discussed
by means of the Runge Kutta 4th order method.