In this work, we reformulate and investigate the well-known pantograph differential equation
by applying newly-defined conformable operators in both Caputo and Riemann–Liouville …

This paper will examine the approximate solution for the fractional-order wave equation. The
method used for this purpose fundamentally is based on the second kind of Chebyshev …

In this study, third-order fractional (1+ 1)-dimensional dispersive partial differential equations
are numerically solved using the generalized fractional-order Fibonacci wavelet functions …

In this article, a hybrid numerical method based on Haar wavelets and finite differences is
proposed for shock ridden evolutionary nonlinear time‐dependent partial differential …

The proposed investigation highlights the thermal variation and heat transmission behavior
of a wetted porous fin under a local thermal non-equilibrium state (LTNE). The fluid–solid …

In the recent past, multi-term fractional equations have been studied using symmetry
methods. In some cases, many practical test problems with some symmetries are provided to …

In this paper, fractional-order Bernoulli wavelets based on the Bernoulli polynomials are
constructed and applied to evaluate the numerical solution of the general form of Caputo …

In this paper, we develop a numerical method for the solution of nonlinear fractional integral
equations (NFIEs) based on Haar wavelet collocation technique (HWCT). Under certain …

This paper deals with the existence of nonnegative solutions for a class of boundary value
problems of fractional q-differential equation D q σ c [k](t)= w (t, k (t), c D q ζ [k](t)) with three …

Purpose In this article, the authors aims to introduce a novel Vieta–Lucas wavelets method
by generalizing the Vieta–Lucas polynomials for the numerical solutions of fractional linear …