Symmetry
(Aug 2022)
Stability of Nonlinear Fractional Delay Differential Equations
D. A. Refaai,
M. M. A. El-Sheikh,
Gamal A. F. Ismail,
Mohammed Zakarya,
Ghada AlNemer,
Haytham M. Rezk
Affiliations
D. A. Refaai
Department of Mathematics, Collage for Women, Ain Shams University, Cairo 11566, Egypt
M. M. A. El-Sheikh
Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin El-Koom 32511, Egypt
Gamal A. F. Ismail
Department of Mathematics, Collage for Women, Ain Shams University, Cairo 11566, Egypt
Mohammed Zakarya
Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia
Ghada AlNemer
Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Haytham M. Rezk
Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Egypt
DOI
https://doi.org/10.3390/sym14081606
Journal volume & issue
Vol. 14,
no. 8
Abstract
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This article discusses several forms of Ulam stability of nonlinear fractional delay differential equations. Our investigation is based on a generalised Gronwall’s inequality and Picard operator theory. Implementations are provided to demonstrate the stability results obtained for finite intervals.
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