On solvability of nonlinear fractional differential systems involving nonlocal initial conditions
Mohammed M. Matar
Department of Mathematics, Al-Azhar University-Gaza, Gaza, State of Palestine
Search for more papers by this authorEsmail S. Abu Skhail
Department of Mathematics, Al-Azhar University-Gaza, Gaza, State of Palestine
Search for more papers by this authorCorresponding Author
Jehad Alzabut
Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia
Correspondence
Jehad Alzabut, Department of Mathematics and General Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia.
Email: [email protected]
Communicated by: M. Efendiev
Search for more papers by this authorMohammed M. Matar
Department of Mathematics, Al-Azhar University-Gaza, Gaza, State of Palestine
Search for more papers by this authorEsmail S. Abu Skhail
Department of Mathematics, Al-Azhar University-Gaza, Gaza, State of Palestine
Search for more papers by this authorCorresponding Author
Jehad Alzabut
Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia
Correspondence
Jehad Alzabut, Department of Mathematics and General Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia.
Email: [email protected]
Communicated by: M. Efendiev
Search for more papers by this authorAbstract
This paper investigates the existence and uniqueness of solutions for nonlinear fractional differential systems with order α∈(1,2]. The system involves fractional derivative of different order in the nonlinearity and associated with nonlocal initial conditions which are defined by arbitrary operators. Our approach is based on the implementation of the Banach and Schauder fixed point theorems. Two examples are provided to examine the theoretical findings.
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