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Solvability and stability analysis of a coupled system involving generalized fractional derivatives

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Al-Azhar University – Gaza
Djaout A.; Benbachir M.; Lakrib M.; Matar M.M.; Khan A.; Abdeljawad T.
Djaout, Abdallah (58095642700); Benbachir, Maamar (36951407900); Lakrib, Mustapha (24923258500); Matar, Mohammed M. (14322043100); Khan, Aziz (56865012200); Abdeljawad, Thabet (6508051762)
58095642700; 36951407900; 24923258500; 14322043100; 56865012200; 6508051762
2023
AIMS Mathematics
Solvability and stability analysis of a coupled system involving generalized fractional derivatives
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4
7817
7839
American Institute of Mathematical Sciences
Faculty of Sciences, Saad Dahlab University, Blida, Algeria; National Higher School of Mathematics, Algiers, Algeria; Laboratory of Mathematics, Djillali Liabès University, Sidi Bel Abbès, Algeria; Department of Mathematics, Al-Azhar University-Gaza, Palestine; Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, Riyadh, 11586, Saudi Arabia; Department of Medical Research, China Medical University, Taichung, 40402, Taiwan; Department of Mathematics, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul, 02447, South Korea
Djaout A., Faculty of Sciences, Saad Dahlab University, Blida, Algeria; Benbachir M., National Higher School of Mathematics, Algiers, Algeria; Lakrib M., Laboratory of Mathematics, Djillali Liabès University, Sidi Bel Abbès, Algeria; Matar M.M., Department of Mathematics, Al-Azhar University-Gaza, Palestine; Khan A., Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, Riyadh, 11586, Saudi Arabia; Abdeljawad T., Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, Riyadh, 11586, Saudi Arabia, Department of Medical Research, China Medical University, Taichung, 40402, Taiwan, Department of Mathematics, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul, 02447, South Korea
T. Abdeljawad; Department of Mathematics and Sciences, Prince Sultan University, Riyadh, P.O. Box 66833, 11586, Saudi Arabia; email: tabdeljawad@psu.edu.sa
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10.3934/math.2023393
boundary value problem; existence and uniqueness; generalized fractional derivative and integral; minimal and maximal solutions; Ulam-Hyers