A Note on Conformable Double Laplace Transform and Singular Conformable Pseudoparabolic Equations

Abstract

In this work, we combine conformable double Laplace transform and Adomian decomposition method and present a new approach for solving singular one-dimensional conformable pseudoparabolic equation and conformable coupled pseudoparabolic equation. Furthermore, some examples are given to show the performance of the proposed method.

Controllability of Mild Solution of Nonlocal Conformable Fractional Differential Equations

“…This novel fractional derivative is very simple and verifies all the properties of the classical deriva-tive. Actually, the conformable fractional derivative becomes the subject of many research contributions [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39].…”

A class of nonlocal impulsive differential equations with conformable fractional derivative

“…Another comparison, we notice that the constants of increases of the norms of the control bounded operators W and W −1 in the application of the work [27] are given directly in a simple way in terms of the exponential function, contrary, for the Caputo fractional derivative in the application of the nice work [51] these constants are given in terms of the so-called Mittag-Leffler function. For more details and conclusions concerning the uses and applications of conformable fractional calculus, we refer to the works [2,4,5,7,8,10,11,12,13,14,16,17,22,23,24,25,28,29,42,49].…”