Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2023 16 (2)
- Authors
- Hamoud, Ahmed A.; Mohammed, Nedal M.; Rasool Shah
- Contact information
- Hamoud, Ahmed A.: Department of Mathematics & Computer Science Taiz University Taiz-96704, Yemen; OCRID: 0000-0002-8877-7337; Mohammed, Nedal M.: Department of Mathematics & Computer Science Taiz University Taiz-96704, Yemen; ; Rasool Shah: Department of Mathematics Abdul Wali Khan University Mardan-23200, Pakistan;
- Keywords
- ϕ-Hilfer fractional Volterra-Fredholm integro-differential equation; Kummer’s stability; Arzela–Ascoli theorem; Krasnoselskii fixed point theorem
- Abstract
We investigate the existence of solutions for a system of nonlinear ϕ-Hilfer fractional Volterra– Fredholm integro-differential equations with fractional integral conditions, by using the Krasnoselskii’s fixed point theorem and Arzela–Ascoli theorem. Moreover, applying an alternative fixed point theorem due to Diaz and Margolis, we prove the Kummer stability of the system on the compact domains. An example is also presented to illustrate our results
- Pages
- 216–229
- EDN
- HILTMN
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/149918
Journal of Siberian Federal University. Mathematics & Physics / Theoretical Analysis for a System of Nonlinear ϕ-Hilfer Fractional Volterra-Fredholm Integro-differential Equations
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