Generalized derivatives and Laplace transform in (<i>k</i>,<i>ψ</i>)‐Hilfer form
Yasemin Başçı, Adil Mısır, Süleyman Öğrekçi
Abstract
In this work, we discuss the most generalized derivatives and integrals and their features in ‐Hilfer form. Furthermore, we define the new generalized Laplace transform to the generalized derivatives and integrals in ‐Hilfer form. Also, we have obtained the new generalized Laplace transforms of some expressions. These statements obtained cover many previous studies. Finally, we have given an example that will both use some of the results obtained and emphasize the importance of parameters such as , , of the ‐generalized Laplace transform.
Topics & Concepts
Laplace transformMathematicsTwo-sided Laplace transformLaplace–Stieltjes transformLaplace transform applied to differential equationsMellin transformCover (algebra)Inverse Laplace transformWork (physics)Applied mathematicsMathematical analysisCalculus (dental)Fourier transformFractional Fourier transformEngineeringMechanical engineeringMedicineDentistryFourier analysisFractional Differential Equations SolutionsMathematical functions and polynomialsIterative Methods for Nonlinear Equations