Geodesic
Uniqueness and stability results for caputo fractional Volterra--Fredholm integro-differential equations
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 3, pp. 313-325

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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.
Keywords: Volterra–Fredholm integro-differential equation, Caputo sense, Gronwall–Bellman's inequality, Banach contraction fixed point theorem. 
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     title = {Uniqueness and stability results for caputo fractional {Volterra--Fredholm} integro-differential equations},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {313--325},
     publisher = {mathdoc},
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     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2021_14_3_a4/}
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Ahmed A. Hamoud. Uniqueness and stability results for caputo fractional Volterra--Fredholm integro-differential equations. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 3, pp. 313-325. http://geodesic.mathdoc.fr/item/JSFU_2021_14_3_a4/