On boundary values system of sequential hybrid fractional differential equations
Volume 34, Issue 3, pp 268--282
https://dx.doi.org/10.22436/jmcs.034.03.06
Publication Date: March 29, 2024
Submission Date: October 22, 2023
Revision Date: December 11, 2023
Accteptance Date: February 16, 2024
Authors
K. Shah
- Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia.
- Department of Mathematics, University of Malakand, Chakdara, Dir(L),18000, KPK, Pakistan.
Sh. Gul
- Department of Mathematics, University of Malakand, Chakdara, Dir(L),18000, KPK, Pakistan.
R. A. Khan
- Department of Mathematics, University of Malakand, Chakdara, Dir(L),18000, KPK, Pakistan.
Th. Abdeljawad
- Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia.
Abstract
This work is devoted to study a broad system of sequential hybrid fractional differential equations (S-HFDEs). Sufficient conditions related to the existence theory for the aforementioned system are investigated by utilizing the coincidence degree theory of topology. The mentioned degree theory is a powerful instrument which can be utilized to examine a wide range of nonlinear problems for qualitative theory. In addition, for the system of boundary value problems (BVPs) of S-HFDEs under consideration, a result concerning the Ullam-Hyers (U-H) stability is also developed. A pertinent example is also given to verify our theoretical results.
Share and Cite
ISRP Style
K. Shah, Sh. Gul, R. A. Khan, Th. Abdeljawad, On boundary values system of sequential hybrid fractional differential equations, Journal of Mathematics and Computer Science, 34 (2024), no. 3, 268--282
AMA Style
Shah K., Gul Sh., Khan R. A., Abdeljawad Th., On boundary values system of sequential hybrid fractional differential equations. J Math Comput SCI-JM. (2024); 34(3):268--282
Chicago/Turabian Style
Shah, K., Gul, Sh., Khan, R. A., Abdeljawad, Th.. "On boundary values system of sequential hybrid fractional differential equations." Journal of Mathematics and Computer Science, 34, no. 3 (2024): 268--282
Keywords
- Caputo derivative
- degree theory
- nonlinear analysis
MSC
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