Discontinuity, Nonlinearity, and Complexity
Hyers-Ulam and Hyers-Ulam-Rassias Stability of Nonlinear Volterra-Fredholm Integral Equations
Discontinuity, Nonlinearity, and Complexity 11(3) (2022) 515--521 | DOI:10.5890/DNC.2022.09.012
Ahmed A. Hamoud$^{1}$, Nedal M. Mohammed$^{2,3}$
$^{1}$ Department of Mathematics, Taiz University, Taiz-380 015, Yemen
$^{2}$ Department of Computer Science,
Dr. Babasaheb Ambedkar Marathwada University,
Aurangabad, India
$^{3}$ Department of Computer Science & IT, Taiz University, Taiz-380 015, Yemen
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Abstract
Two new stability results, Hyers-Ulam stability and Hyers-Ulam-Rassias stability, of a class Volterra-Fredholm integral equations are presented by using a fixed point theorem in a generalized complete metric space.
In addition, for corresponding Volterra-Fredholm integral equations on infinite intervals the Hyers-Ulam-Rassias stability is also obtained.
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