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”.
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