The fractional-order Boussinesq equations (FBSQe) are investigated in this work to see if
they can effectively improve the situation where the shallow water equation cannot directly …

In this article, we use the Caputo-Katugampola g H-differentiability to solve a class of
fractional PDE systems. With the aid of Caputo-Katugampola g H-differentiability, we …

The purpose of this paper is to investigate a class of initial value problems of fuzzy fractional
coupled partial differential equations with Caputo g H-type derivatives. Firstly, using Banach …

In recent years, fuzzy and fractional calculus are utilized for simulating complex models with
uncertainty and memory effects. This study is focused on fuzzy-fractional modeling of (2+ 1) …

In this work, the fractional natural transform decomposition method (FNTDM) is employed to
obtain approximate analytical solutions for some time-fractional versions of the nonlinear …

A fully implicit numerical scheme is established for solving the time fractional Swift-
Hohenberg equation with a Caputo time derivative of order α∈(0, 1). The variable-step L1 …

High‐dimensional fractional equation investigation is a cutting‐edge discipline with
considerable pragmatic and speculative consequences in engineering, epidemiology, and …

The Black‐Scholes equation (BSe) is fascinating in the business world for predicting the
performance of financial investment valuation systems. The Caputo fractional derivative …

Modern science is one of the most-used commodities globally, and it is especially important
in determining the sources of various threats faced by the world. These problems are studied …

We define a new class of analytic functions D m, n (λ, δ, µ, α, β) on the open unit disc using
the fractional integral associated with a linear differential operator and investigate …