Caputo分数阶Volterra-Fredholm积分微分方程的唯一性和稳定性结果

IF 0.4 Q4 MATHEMATICS

Journal of Siberian Federal University-Mathematics & Physics Pub Date : 2021-06-01 DOI:10.17516/1997-1397-2021-14-3-313-325

Ahmed A. Hamoud

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引用次数: 7

摘要

本文建立了具有边界条件的迭代非线性Volterra-Fredholm积分微分方程解的唯一性和Ulam稳定性的一些新结果。分数阶导数是在卡普托意义上考虑的。这些新结果是应用Gronwall-Bellman不等式和Banach收缩不动点定理得到的。最后通过一个实例说明了所得结果的有效性和可靠性

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Uniqueness and Stability Results for Caputo Fractional Volterra-Fredholm Integro-Differential Equations

In this paper, we established some new results concerning the uniqueness and Ulam’s stability results of the solutions of iterative nonlinear Volterra-Fredholm integro-differential equations subject to the boundary conditions. The fractional derivatives are considered in the Caputo sense. These new results are obtained by applying the Gronwall–Bellman’s inequality and the Banach contraction fixed point theorem. An illustrative example is included to demonstrate the efficiency and reliability of our results

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来源期刊

Journal of Siberian Federal University-Mathematics & Physics MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量