New general integral transform via Atangana–Baleanu derivatives
Meryem Meddahi, Hossein Jafari, Mahluli Naisbitt Ncube
Abstract
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.
Topics & Concepts
Integral transformIntegral equationMathematicsOrdinary differential equationDaniell integralApplied mathematicsMathematical analysisPartial differential equationImproper integralFourier integral operatorDifferential equationFractional Differential Equations SolutionsMathematical functions and polynomialsIterative Methods for Nonlinear Equations