On the existence of mild solutions for totally nonlinear Caputo-Hadamard fractional differential equations

Abstract

The existence of mild solutions of a totally nonlinear Caputo-Hadamard fractional differential equation is
investigated using the Krasnoselskii-Burton fixed point theorem and some results are presented. Two example
are given to illustrate our obtained results.

Keywords

• Fractional differential equations
• Krasnoselskii-Burton fixed point
• Large contraction
• Existence
• Mild solutions

References

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