Existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations

Abstract

In this paper, we use the contraction mapping principle to obtain the existence, interval of existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations. We also use the generalization of Gronwall's inequality to show the estimate of the solutions.

Keywords

• Implicit fractional differential equations,Caputo-Hadamard fractional derivatives,Fixed point theorems

References

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