Existence Results for Mixed Hadamard and Riemann-Liouville Fractional Integro-Differential Equations and Inclusions

Bashir Ahmad, Ahmed Alsaedi, Sotiris K. Ntouyas and Jessada Tariboon
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Bashir Ahmad: King Abdulaziz University, Department of Mathematics
Ahmed Alsaedi: King Abdulaziz University, Department of Mathematics
Sotiris K. Ntouyas: University of Ioannina, Department of Mathematics
Jessada Tariboon: King Mongkut’s University of Technology North Bangkok, Department of Mathematics

Chapter Chapter 4 in Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities, 2017, pp 87-108 from Springer

Abstract: Abstract We introduce a new class of mixed initial value problems involving Hadamard derivative and Riemann-Liouville fractional integrals. Existence as well existence and uniqueness results are proved for mixed initial value problems involving Hadamard and Riemann-Liouville type integro-differential equations and inclusions via appropriate fixed point theorems. We also obtain an existence result for the inclusion case by following a relatively new approach known as “endpoint theory”.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-52141-1_4

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DOI: 10.1007/978-3-319-52141-1_4

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