Search
Search Results
-
Analytical study of a modified-ABC fractional order breast cancer model
This study investigates breast cancer dynamics using modified ABC-fractional operators. We examine interactions among cancer stem cells, tumor cells,...
-
A new weighted fractional operator with respect to another function via a new modified generalized Mittag–Leffler law
In this paper, new generalized weighted fractional derivatives with respect to another function are derived in the sense of Caputo and...
-
Study of a class of fractional-order evolution hybrid differential equations using a modified Mittag-Leffler-type derivative
This work is devoted to using topological degree theory to establish a mathematical analysis for a class of fractional-order evolution hybrid...
-
A new efficient technique for solving modified Chua’s circuit model with a new fractional operator
Chua’s circuit is an electronic circuit that exhibits nonlinear dynamics. In this paper, a new model for Chua’s circuit is obtained by transforming...
-
On analysis of fractional order HIV infection model with the adaptive immune response under Caputo operator
The present work investigates the fractional dynamics of a system concerned with the human immuno-deficiency virus (HIV) disease with cytotoxic...
-
Fractional Integrals and Derivatives
In this chapter, we list various types of fractional integrals and fractional derivatives available in the literature. In fact, the purpose is to...
-
Analytical Solutions for Nonlinear Fractional Physical Problems Via Natural Homotopy Perturbation Method
The main objective of this paper is to describe new analytical solutions for the nonlinear fractional Fisher equation, the nonlinear fractional...
-
A new mathematical model of multi-faced COVID-19 formulated by fractional derivative chains
It has been reported that there are seven different types of coronaviruses realized by individuals, containing those responsible for the SARS, MERS,...
-
Ostrowski-type inequalities pertaining to Atangana–Baleanu fractional operators and applications containing special functions
The objective of this article is to incorporate the concept of the Ostrowski inequality with the Atangana–Baleanu fractional integral operator. A...
-
A new modified semi-analytical technique for a fractional-order Ebola virus disease model
Ebola virus disease is a fatal hemorrhagic fever of humans and primates caused by viruses. There are many mathematical models to investigate this...
-
Stability results and existence for fractional differential equation involving Atangana-Baleanu derivative with nonlocal integral conditions
This article’s main objective is to derive the existence criterion for positive solutions and establish Hyers-Ulam (HU) stability of the fractional...
-
Analysis on the solution of fractional fuzzy differential equations
This article is concerned with an appropriate definition of the fractional derivative and integral based on the concept of new generalized...
-
On the Modeling of COVID-19 Spread via Fractional Derivative: A Stochastic Approach
AbstractThe coronavirus disease (COVID-19) pandemic has caused more harm than expected in developed and develo** countries. In this work, a...
-
-
Existence and stability of a q-Caputo fractional jerk differential equation having anti-periodic boundary conditions
In this work, we analyze a q -fractional jerk problem having anti-periodic boundary conditions. The focus is on investigating whether a unique...
-
-
Fractional Differential and Integral Operators
Fractional differentiation and integration have witness a continuous revolution in the last decades as they have been found to capture behaviors that...
-
A Study on Linear Prabhakar Fractional Systems with Variable Coefficients
The focus of this paper is on addressing the initial value problem related to linear systems of fractional differential equations characterized by...
-
A System of High-Order Fractional Differential Equations with Integral Boundary Conditions
The existence of a solution for a system of two nonlinear high-order fractional differential equations including the Atangana-Baleanu-Caputo...
-
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...