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A boundary problem for the time-fractional Hallaire–Luikov moisture transfer equation with Hilfer derivative
We aim to prove a unique solvability of a boundary-value problem with Dirichlet conditions for the Hallaire–Luikov moisture transfer equation...
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Regularization of the Inverse Problem for Time Fractional Pseudo-parabolic Equation with Non-local in Time Conditions
This paper is devoted to identifying an unknown source for a time-fractional diffusion equation in a general bounded domain. First, we prove the...
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Numerical analysis for optimal quadratic spline collocation method in two space dimensions with application to nonlinear time-fractional diffusion equation
Optimal quadratic spline collocation (QSC) method has been widely used in various problems due to its high-order accuracy, while the corresponding...
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Paul-Painlevé Analysis, Soliton and Periodic Wave in the Fractional Thermophoretic Motion Equation via Graphene Sheets
We focused on solitonic phenomena in substrate-supported graphene sheets by learning the solitons of fractional thermophoretic motion equation, which...
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Higher Order Computational Approach for Generalized Time-Fractional Diffusion Equation
The present article is devoted to develo** new finite difference schemes with a higher order of the convergence for the generalized time-fractional...
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A popular reaction-diffusion model fractional Fitzhugh-Nagumo equation: analytical and numerical treatment
The main objective of this article is to obtain the new analytical and numerical solutions of fractional Fitzhugh-Nagumo equation which arises as a...
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A pseudo-spectral method based on reproducing kernel for solving the time-fractional diffusion-wave equation
In this paper, we focus on the development and study of the finite difference/pseudo-spectral method to obtain an approximate solution for the...
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Identifying source term and initial value simultaneously for the time-fractional diffusion equation with Caputo-like hyper-Bessel operator
In this paper, we consider the inverse problem for identifying the source term and the initial value of time-fractional diffusion equation with...
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Fractional Growth Portfolio Investment
We review some fundamental concepts of investment from a mathematical perspective, concentrating specifically on fractional-Kelly portfolios, which...
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A Compact Difference Scheme on Graded Meshes for the Nonlinear Fractional Integro-differential Equation with Non-smooth Solutions
In this paper, a compact finite difference scheme for the nonlinear fractional integro-differential equation with weak singularity at the initial...
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Analyzing Single and Multi-valued Nonlinear Caputo Two-Term Fractional Differential Equation With Integral Boundary Conditions
This article primarily focuses on the single-valued and multi-valued cases of the class of nonlinear Caputo two-term fractional differential equation...
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Two Time-Step** Schemes for Sub-Diffusion Equations with Singular Source Terms
Singular source terms in sub-diffusion equations may lead to the unboundedness of solutions, which will bring a severe reduction of convergence order...
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Reconstruction of the Source Term in a Time-Fractional Diffusion Equation from Partial Domain Measurement
Time-fractional diffusion equations draw attention of many mathematicians from various fields in the recent past because of their widely known...
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An efficient preconditioner for linear systems arising from high-order accurate schemes of time fractional diffusion equations
In this paper, we study preconditioners for all-at-once systems arising from the discretization of time-fractional sub-diffusion equations. Due to...
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Fixed-Point Theorems Based Evaluation of Analytical Solution in Fractional Diffusion Equations
The definition of fractional calculus is a careful study conducted by experts in a variety of technical and scientific fields. Fractional calculus is...
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The Splitting Characteristic Finite Difference Domain Decomposition Scheme for Solving Time-Fractional MIM Nonlinear Advection–Diffusion Equations
In this paper, we develop a new splitting characteristic finite difference scheme for solving the time-fractional mobile-immobile nonlinear...
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Drift diffusion equations with fractional diffusion on compact Lie groups
In this work we investigate the well-posed for diffusion equations associated to subelliptic pseudo-differential operators on compact Lie groups. The...
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Pricing European option under the generalized fractional jump-diffusion model
The pricing problem of European option is investigated under the generalized fractional jump-diffusion model. First of all, the generalized...
