In this article, we consider a multi-term fractional initial value problem which has a weak singularity at the initial time . The fractional derivatives are defined in Caputo sense. Due to such singular behavior, an initial ...

The present work considers a Riemann-Liouville fractional initial value problem (IVP) associated with homogeneous initial condition involving a weak singularity near the origin. Due to presence of initial singularity, an ...

This work deals with a higher order numerical approximation for analyzing a class of multi-term time fractional partial integro-differential equations involving Volterra integral operators. The solutions to these problems ...

An innovative simultaneous space–time Hermite wavelet method has been developed to solve weakly singular fractional-order nonlinear integro-partial differential equations in one and two dimensions with a focus whose solutions ...

This article deals with an efficient numerical method for solving the time fractional Black–Scholes equation governing the European option pricing model and their Greeks. The Caputo fractional derivative involved in time ...

The main focus of this work is to develop a hybrid numerical method based on the L1 scheme and the multi-dimensional Hermite wavelets. We discuss the stability and convergence analysis on a newly designed time-graded mesh ...

The growing demand for sustainable energy sources has prompted investigation of offshore wind farms (OfWF) as viable options. This study proposes an innovative framework combining GIS with MCDM methods to identify highly ...

This paper explores inhomogeneous generalized fractional-order Bessel differential equations in the complex domain with arbitrary-order δ () using Riemann-Liouville (R-L) fractional operators. The study establishes the ...

We explore the potential applications of virtual elements for solving the Sobolev equation with a convective term. A conforming virtual element method is employed for spatial discretization, while an implicit Euler scheme ...

A hybridizable discontinuous Galerkin (HDG) method is introduced and analyzed to solve the Sobolev equation. The analysis includes the derivation of a priori error estimates, demonstrating that the approximations for both ...