Results for Fractional Differential Equations with Integral Boundary Conditions Involving the Hadamard Derivative

Alberto Cabada; Kadda Maazouz

Conference Proceedings

Results for Fractional Differential Equations with Integral Boundary Conditions Involving the Hadamard Derivative

Cabada A
Maazouz K

Springer Proceedings in Mathematics and Statistics (2019) 292 145-155

DOI: 10.1007/978-3-030-26987-6_10

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Abstract

This paper deals with the existence, uniqueness and location of solutions of implicit fractional differential equations involving the Hadamard fractional derivative on Banach spaces. The results follow from the Banach contraction principle.

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Banach fixed point theorem
Fractional-order differential equation
Green’s function
Hadamard fractional derivative
Integral equation

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Cabada, A., & Maazouz, K. (2019). Results for Fractional Differential Equations with Integral Boundary Conditions Involving the Hadamard Derivative. In Springer Proceedings in Mathematics and Statistics (Vol. 292, pp. 145–155). Springer. https://doi.org/10.1007/978-3-030-26987-6_10

Results for Fractional Differential Equations with Integral Boundary Conditions Involving the Hadamard Derivative

Abstract

Author supplied keywords

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