Abstract By using the fractional Caputo–Fabrizio derivative, we investigate a new version for mathematical model of HIV. In this way, review existence and uniqueness solution by fixed point theory. We solve equation combination Laplace transform homotopy analysis method. Finally, provide some numerical analytics comparisons results.

In this paper, by using fixed-point methods, we study the existence and uniqueness of a solution for nonlinear fractional differential equation boundary-value problem D(α)u(t)=f(t,u(t)) with Riemann-Liouville derivative via different problems u(0)=u(T), three-point boundary condition u(0)=β(1)u(η) u(T)=β(2)u(η), where T>0, t∈I=[0,T], 0<α<1, 0<η<T, 0<β(1)<β(2)<1.

We present a fractional-order model for the COVID-19 transmission with Caputo-Fabrizio derivative. Using homotopy analysis transform method (HATM), which combines of and Laplace transform, we solve problem give approximate solution in convergent series. prove existence unique stability iteration approach by using fixed point theory. also numerical results to simulate virus compare those Caputo

We present a fractional-order epidemic model for childhood diseases with the new fractional derivative approach proposed by Caputo and Fabrizio. By applying Laplace Adomian decomposition method (LADM), we solve problem solutions are presented as infinite series converging to solution. prove existence, uniqueness, stability of solution using fixed point theory. Also, provide some numerical results illustrate effectiveness derivative.

Protease inhibitor (PI)-based combination antiretroviral therapy (cART) is administered during pregnancy to prevent perinatal human immunodeficiency virus (HIV) transmission. However, PI use has been associated with adverse birth outcomes, including preterm delivery and small-for-gestational-age (SGA) births. The mechanisms underlying these outcomes are unknown. We hypothesized that PIs contribute events by altering progesterone levels.PI effects on trophoblast production were assessed in...

We provide a SEIR epidemic model for the spread of COVID-19 using Caputo fractional derivative. The feasibility region system and equilibrium points are calculated stability is investigated. prove existence unique solution by fixed point theory. Using Euler method, we get an approximate to model. To predict transmission in Iran world, numerical simulation based on real data.

Abstract We present a new mathematical model for the transmission of Zika virus between humans as well and mosquitoes. In this way, we use fractional-order Caputo derivative. The region feasibility system equilibrium points are calculated, stability point is investigated. prove existence unique solution by using fixed theory. By fractional Euler method, get an approximate to model. Numerical results presented investigate effect derivative on behavior functions also compare integer-order results.

Abstract We study a fractional-order model for the anthrax disease between animals based on Caputo–Fabrizio derivative. First, we derive an existence criterion of solutions proposed fractional $\mathcal {CF}$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>CF</mml:mi></mml:math> -system by utilizing Picard–Lindelof technique. By obtaining basic reproduction number $\mathcal{R}_{0}$...

Abstract In this paper, we study the rubella disease model with Caputo–Fabrizio fractional derivative. The mathematical solution of liver is presented by a three-step Adams–Bashforth scheme. existence and uniqueness are discussed employing fixed point theory. Finally some numerical simulations showed to underpin effectiveness used

By using fixed point results on cones, we study the existence and uniqueness of positive solutions for some nonlinear fractional differential equations via given boundary value problems. Examples are presented in order to illustrate obtained results.

Abstract Using the fractional Caputo–Fabrizio derivative, we investigate a new version of mathematical model Rabies disease. fixed point results, prove existence unique solution. We calculate equilibrium points and check stability solutions. solve equation by combining Laplace transform Adomian decomposition method. In numerical effect coefficients on number infected groups. also examine derivation orders behavior functions make comparison between results integer-order derivative Caputo...

By using fixed point results on cones, we study the existence of solutions for singular nonlinear fractional boundary value problem where is an integer, , f -Caratheodory function, and may be at 0 in one dimension its space variables x, y, z. Here, c D stands Caputo derivative.

In this paper, by using a fixed point result on ordered metric spaces, we prove the existence and uniqueness of solution nonlinear fractional differential equation ( , ) via periodic boundary condition where is continuous increasing function denotes Caputo derivative order α. Also, solve it anti-periodic conditions with separately.

Abstract The main objective of this paper is to concern with a new category the sequential hybrid inclusion boundary value problem three-point integro-derivative conditions. In direction, we employ various novel analytical techniques based on α - ψ -contractive mappings, endpoints, and fixed points product operators obtain results. Finally, provide two examples illustrate our

We investigate the existence and multiplicity of positive solutions for nonlinear fractional differential equation initial value problem u (0) = 0, 0 &lt; t 1, where is standard Riemann‐Liouville differentiation f : [0,1] × [0, ∞ ) → continuous. By using some fixed‐point results on cones, are obtained.

Abstract We study the SEIR epidemic model for spread of AH1N1 influenza using Caputo–Fabrizio fractional-order derivative. The reproduction number system and equilibrium points are calculated, stability disease-free point is investigated. prove existence solution by fixed theory. Using fractional Euler method, we get an approximate to model. In numerical section, present a simulation examine system, in which calculate behavior resulting functions at points. By calculating results different...

It has been reported that pregnant women receiving protease inhibitor (PI)-based combination antiretroviral therapy (cART) have lower levels of progesterone, which put them at risk adverse birth outcomes, such as low weight. We sought to understand the mechanisms involved in this decline progesterone level.We assessed plasma prolactin, and lipids placental expression genes metabolism 42 human immunodeficiency virus (HIV)-infected 31 HIV-uninfected women. In vitro studies a mouse pregnancy...

Crimean-Congo hemorrhagic fever is a common disease between humans and animals that transmitted to through infected ticks, contact with animals, humans. In this paper, we present boxed model for the transmission of virus. With help fixed-point theory, our proposed system investigated in detail prove its unique solution. Given Caputo fractional-order derivative preserves system’s historical memory, use fractional modeling. The equilibrium points their stability conditions are determined....

Abstract In the present research article, we find some important criteria on existence of solutions for a class hybrid fractional Caputo–Hadamard differential equations and its corresponding inclusion problem supplemented with Hadamard integral boundary conditions. this direction, utilize theorems due to Dhage’s fixed point results in our proofs. Finally, demonstrate two numerical examples confirm validity main obtained results.