\(q\)-fractional functional integro-differential equation with \(q\)-integral condition

Volume 29, Issue 2, pp 167--174 https://doi.org/10.22436/jmcs.029.02.06
Publication Date: October 20, 2022 Submission Date: March 16, 2022 Revision Date: June 28, 2022 Accteptance Date: August 17, 2022

Authors

R. G. Ahmed - Faculty of Science, Al-Azhar University, Cairo 11884, Egypt. Sh. A. Abd El-Salam - Faculty of Sciences, Damanhour University, Damanhour 22511, Egypt. A. M. A. El-Sayed - Faculty of Science, Alexandria University, Alexandria 21544, Egypt.


Abstract

In this paper, we study the existence and the uniqueness of the solution of the non-local problems of \(q\)-fractional functional integro-differential equation with non-local \(q\)-integral condition. The continuous dependence of the solution will be studied. Two examples will be given to illustrate results.


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ISRP Style

R. G. Ahmed, Sh. A. Abd El-Salam, A. M. A. El-Sayed, \(q\)-fractional functional integro-differential equation with \(q\)-integral condition, Journal of Mathematics and Computer Science, 29 (2023), no. 2, 167--174

AMA Style

Ahmed R. G., Abd El-Salam Sh. A., El-Sayed A. M. A., \(q\)-fractional functional integro-differential equation with \(q\)-integral condition. J Math Comput SCI-JM. (2023); 29(2):167--174

Chicago/Turabian Style

Ahmed, R. G., Abd El-Salam, Sh. A., El-Sayed, A. M. A.. "\(q\)-fractional functional integro-differential equation with \(q\)-integral condition." Journal of Mathematics and Computer Science, 29, no. 2 (2023): 167--174


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