Advances in Difference Equations · 2021 · 29 citations · 34 references
Natural SciencesMathematicsDifferential EquationsNumber TheoryPhase TransformationsIntegral EquationsSpecial FunctionsConditionsFractional Differential EquationsIntegral Representations
Abstract The current paper is about the investigation of a new integral transform introduced recently by Jafari. Specifically, we explore the applicability of this integral transform on Atangana–Baleanu derivative and the associated fractional integral. It is shown that by applying specific conditions on this integral transform, other integral transforms are deduced. We provide examples to reinforce the applicability of this new integral transform.
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A new Definition of Fractional Derivative without Singular Kernel
Michèle Caputo, Mauro Fabrizio · 2015 · 2.4K citations