Search
Search Results
-
-
Analysis of a nonlinear fractional system for Zika virus dynamics with sexual transmission route under generalized Caputo-type derivative
This paper establishes a mathematical model of the Zika virus infection with the sexual transmission route under the generalized Caputo-type...
-
L1/LDG Method for Caputo-Hadamard Time Fractional Diffusion Equation
In this paper, a class of discrete Gronwall inequalities is proposed. It is efficiently applied to analyzing the constructed L1/local discontinuous...
-
Global stability of novel coronavirus model using fractional derivative
Mathematical modeling plays a crucial role in disease modeling. Therefore, in this work, a mathematical model for novel coronavirus is proposed using...
-
An Order Reduction Method for the Nonlinear Caputo-Hadamard Fractional Diffusion-Wave Model
In this paper, the numerical solutions of the nonlinear Hadamard fractional diffusion-wave model with the initial singularity are investigated....
-
A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers–Ulam stability
In this work, we investigate the existence, uniqueness, and stability of fractional differential equation with multi-point integral boundary...
-
The existence and averaging principle for Caputo fractional stochastic delay differential systems
In this paper, we first establish the existence and uniqueness theorem for solutions of Caputo type fractional stochastic delay differential systems...
-
Existence results of a nonlocal impulsive fractional stochastic differential systems with Atangana–Baleanu derivative
The study of this work ensures the existence results of a class of Atangana–Baleanu (A–B) fractional stochastic differential equations with...
-
A qualitative investigation on Caputo fractional neutral VF integro differential equation and its uniform stability
In this article, we consider a Caputo fractional nonlinear neutral Volterra-Fredholm (VF) type Integro differential equation (IDE). Some fundamental...
-
Numerical framework for the Caputo time-fractional diffusion equation with fourth order derivative in space
A finite difference scheme along with a fourth-order approximation is examined in this article for finding the solution of time-fractional diffusion...
-
Analysis of the Chickenpox Disease Evolution in an MSEIR Model Using Fractal-Fractional Differential Operator
The main aim to conduct this research study is to show the advantage of using fractal-fractional differential operator over other differential...
-
Fractional Anomalous Diffusion
In this chapter, we discuss the general problem of fractional diffusion equationFractional diffusion equation in connection with the anomalous...
-
Optimal feedback control for fractional evolution equations with nonlinear perturbation of the time-fractional derivative term
We study the optimal feedback control for fractional evolution equations with a nonlinear perturbation of the time-fractional derivative term...
-
An explanation on four new definitions of fractional operators
Fractional calculus has drawn more attentions of mathematicians and engineers in recent years. A lot of new fractional operators were used to handle...
-
Approximate calculation of the Caputo-type fractional derivative from inaccurate data. Dynamical approach
A specific formulation of the “classical” problem of mathematical analysis is considered. This is the problem of calculating the derivative of a...
-
Some Two-Dimensional Boundary-Value Problems of Filtration Dynamics for Models with Proportional Caputo Derivative
Closed-form solutions are obtained for some two-dimensional non-stationary boundary-value problems of filtration dynamics in fractured-porous rocks,...
-
Some Classes of Quasilinear Equations with Gerasimov—Caputo Derivatives
The Cauchy problem for resolved with respect to the oldest derivative quasilinear multi-term equations in Banach spaces with the fractional...
-
Approximation of a Mean Field Game Problem with Caputo Time-Fractional Derivative
AbstractA mean field game model in the interpretation of optimal control is investigated theoretically and numerically. This is the problem of...
-
Approximation of the Subdiffusion Equation with Solution-dependent Fractional Time Derivative and Diffusion Coefficient
AbstractWe consider a boundary value problem for a nonlinear subdiffusion equation with Caputo fractional time derivative of the order
... 