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On solvability of nonlinear fractional differential systems involving nonlocal initial conditions

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Al-Azhar University – Gaza
Matar M.M.; Abu Skhail E.S.; Alzabut J.
Matar, Mohammed M. (14322043100); Abu Skhail, Esmail S. (57203816079); Alzabut, Jehad (13105947900)
14322043100; 57203816079; 13105947900
2021
Mathematical Methods in the Applied Sciences
On solvability of nonlinear fractional differential systems involving nonlocal initial conditions
44
10
8254
8265
John Wiley and Sons Ltd
Department of Mathematics, Al-Azhar University-Gaza, Gaza, Palestine; Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia
Matar M.M., Department of Mathematics, Al-Azhar University-Gaza, Gaza, Palestine; Abu Skhail E.S., Department of Mathematics, Al-Azhar University-Gaza, Gaza, Palestine; Alzabut J., Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia
J. Alzabut; Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia; email: jalzabut@psu.edu.sa
17
10.1002/mma.5910
Caputo fractional differential system; existence; Schauder fixed point theorems; uniqueness
Differential equations; Fixed point arithmetic; Functional analysis; Arbitrary operators; Caputo fractional differential system; Differential systems; Existence; Existence and uniqueness of solution; Fractional derivatives; Fractional differential; Nonlocal initial conditions; Schauder fixed-point theorem; Uniqueness; Topology