In this article, a new and efficient operational matrix method based on the amalgamation of
Fibonacci wavelets and block pulse functions is proposed for the solutions of time-fractional …

In nonlinear this paper, we present a new approach to solve system of two‐
dimensionalFredholm–Volterra integral partial differential equations. This approach is based …

Variable-order time fractional Volterra–Fredholm integral partial differential equations with
weakly singular kernels are taken into account as results of modeling diverse physical …

In this paper, we introduce a general class of coupled nonlinear systems of variable-order
fractional partial differential equations (GCNSV-FPDEs) with initial and boundary conditions …

In this study, for the first time, the approximate solution of Black–Scholes option pricing
distributed order time-fractional partial differential equation by means of Legendre and …

Ordinary, partial, and integral differential equations are indispensable tools across diverse
scientific domains, enabling precise modeling of natural and engineered phenomena. The …

In this paper, we develop an efficient matrix method based on two‐dimensional orthonormal
Bernstein polynomials (2D‐OBPs) to provide approximate solution of linear and nonlinear …

In the present paper, a new method is introduced for the approximate solution of two-
dimensional nonlinear mixed Volterra–Fredholm partial integro-differential equations with …

This paper investigates a novel version for the nonlinear 2D telegraph equation involving
variable-order (VO) time fractional derivatives in the Atangana–Baleanu–Caputo sense with …

This paper presents an accurate localized meshfree collocation technique for the
approximate solution of the second-order two-dimensional telegraph model. This model is …