Existence results of fractional differential equations with nonlocal double-integral boundary conditions br

This article presents the existence outcomes concerning a family of singular nonlinear dif-ferential equations containing Caputo's fractional derivatives with nonlocal double integral boundary conditions. According to the nature of Caputo's fractional calculus, the problem is converted into anequivalent integral equation, while two standard fixed theorems are employed to prove its uniqueness and existence results. An example is presented at the end of this paper to illustrate our obtained results

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This article presents the existence outcomes of a family of singular nonlinear differential equations containing Caputo's fractional derivatives with nonlocal double integral boundary conditions. The problem is converted into an equivalent integral equation using the nature of Caputo's fractional calculus, and two standard fixed theorems are employed to prove its uniqueness and existence results. An example is provided at the end of the paper to illustrate the obtained results.