The aim of this article is to propose a new definition of fuzzy fractional derivative, so-called
fuzzy conformable. To this end, we discussed fuzzy conformable fractional integral softly …

In quantum field theory, the fractional Kundu-Eckhaus and massive Thirring models are
nonlinear partial differential equations under fractional sense inside nonlinear Schrödinger …

Mathematical modeling of fractional resonant Schrödinger equations is an extremely
significant topic in the classical of quantum mechanics, chromodynamics, astronomy, and …

Mathematical simulation of nonlinear physical and abstract systems is a very vital process
for predicting the solution behavior of fractional partial differential equations (FPDEs) …

Abstract Space-time conformable fractional nonlinear (1+ 1)-dimensional Schrödinger-type
models are investigated in this paper. Traveling wave solutions using the sine-Gordon …

Nonclassical quantum mechanics along with dispersive interactions of free particles, long-
range boson stars, hydrodynamics, harmonic oscillator, shallow-water waves, and quantum …

In this work, we study the sufficient condition for convergence of the reduced differential
transform method for nonlinear differential equations. The main power of this method is its …

In this analysis, the cubic B-spline method is employed for constructing the approximate
solutions of a class of fractional two-point boundary value problems. These fractional …

This research work introduces a novel method called the Sumudu–generalized Laplace
transform decomposition method (SGLDM) for solving linear and nonlinear non …

In this paper, we firstly introduce a concept of conformable fractional delayed type matrix
Cosine and Sine functions, which help us to construct an exact expression of a solution for …