Uniqueness and Ulam stability for implicit fractional q-difference equations via Picard operators theory
by Saïd Abbas; Mouffak Benchohra; John R. Graef; Nadjet Laledj
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 13, No. 1, 2023

Abstract: The authors are concerned with the uniqueness of solutions and Ulam type stability results for implicit Caputo fractional q-difference equations. Coupled systems of implicit fractional q-difference equations are also considered. Their results are obtained by using the Picard operator theory due to Rus. An illustrative example is given in the last section of the paper.

Online publication date: Mon, 13-Mar-2023

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