On a set-valued functional integral equation of Volterra-Stieltjes type
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Authors
A. M. A. El-Sayed
- Faculty of Science , Alexandria University, Alexandria, Egypt.
Sh. M. Al-Issa
- Faculty of Science, Lebanes International University, Beirut, Lebanon.
- Faculty of Science, The International University of Beirut, Saida, Lebanon.
Abstract
In this paper, we study the existence of continuous solutions of a set-valued functional integral equation for the Volterra-Stieltjes type. The asymptotic stability of the solutions will be studied. The continuous dependence of the solution on the set of selections of the set-valued function will be proven. As an application, we study the existence of solutions of an initial value problem of arbitrary (fractional) order differential inclusion.
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ISRP Style
A. M. A. El-Sayed, Sh. M. Al-Issa, On a set-valued functional integral equation of Volterra-Stieltjes type, Journal of Mathematics and Computer Science, 21 (2020), no. 4, 273--285
AMA Style
El-Sayed A. M. A., Al-Issa Sh. M., On a set-valued functional integral equation of Volterra-Stieltjes type. J Math Comput SCI-JM. (2020); 21(4):273--285
Chicago/Turabian Style
El-Sayed, A. M. A., Al-Issa, Sh. M.. "On a set-valued functional integral equation of Volterra-Stieltjes type." Journal of Mathematics and Computer Science, 21, no. 4 (2020): 273--285
Keywords
- Nonlinear Volterra-Stieltjes integral inclusion
- function of bounded variation
- asymptotic stability
- continuous dependence of the solution
- integral inclusion of fractional order
MSC
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