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Existence and Ulam Stability for Fractional q-Difference Equations with Integral Boundary Conditions
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This work discusses the existence and uniqueness of solutions to the boundary value problem for fractional q-difference equations, which involves the Caputo’s fractional q-derivative with nonlinear integral conditions, by using some standard fixed point theorems. In addition, we study the Ulam-Hyers and Ulam-Hyers-Rassias stabilities of its solutions. Finally, we present two examples to explain our results.
Title: Existence and Ulam Stability for Fractional q-Difference Equations with Integral Boundary Conditions
Description:
This work discusses the existence and uniqueness of solutions to the boundary value problem for fractional q-difference equations, which involves the Caputo’s fractional q-derivative with nonlinear integral conditions, by using some standard fixed point theorems.
In addition, we study the Ulam-Hyers and Ulam-Hyers-Rassias stabilities of its solutions.
Finally, we present two examples to explain our results.
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