Hasan, Shatha Djeddi, Nadir Al-Smadi, Mohammed Al-Omari, Shrideh Momani, Shaher Fulga, Andreea
Published in
Advances in Difference Equations
This paper deals with the generalized Bagley–Torvik equation based on the concept of the Caputo–Fabrizio fractional derivative using a modified reproducing kernel Hilbert space treatment. The generalized Bagley–Torvik equation is studied along with initial and boundary conditions to investigate numerical solution in the Caputo–Fabrizio sense. Regar...
Naveed, Muhammad Baleanu, Dumitru Raza, Ali Rafiq, Muhammad Soori, Atif Hassan Mohsin, Muhammad
Published in
Advances in Difference Equations
Pneumonia is a highly transmitted disease in children. According to the World Health Organization (WHO), the most affected regions include South Asia and sub-Saharan Africa. 15% deaths of children are due to pneumonia. In 2017, 0.88 million children were killed under the age of five years. An analysis of pneumonia disease is performed with the help...
Kavitha, K. Nisar, Kottakkaran Sooppy Shukla, Anurag Vijayakumar, Velusamy Rezapour, Shahram
Published in
Advances in Difference Equations
The goal of this study is to propose the existence results for the Sobolev-type Hilfer fractional integro-differential systems with infinite delay. We intend to implement the outcomes and realities of fractional theory to obtain the main results by Monch’s fixed point technique. Moreover, we show the existence and controllability of the thought abo...
Xie, Binfeng
Published in
Advances in Difference Equations
In this paper, we propose and investigate a prey–predator model with Holling type II response function incorporating Allee and fear effect in the prey. First of all, we obtain all possible equilibria of the model and discuss their stability by analyzing the eigenvalues of Jacobian matrix around the equilibria. Secondly, it can be observed that the ...
Shabibi, Mehdi Samei, Mohammad Esmael Ghaderi, Mehran Rezapour, Shahram
Published in
Advances in Difference Equations
In this work, we study a q-differential inclusion with doubled integral boundary conditions under the Caputo derivative. To achieve the desired result, we use the endpoint property introduced by Amini-Harandi and quantum calculus. Integral boundary conditions were considered on time scale Tt0={t0,t0q,t0q2,…}∪{0}\documentclass[12pt]{minimal} \usepac...
Shams, Mudassir Rafiq, Naila Kausar, Nasreen Agarwal, Praveen Park, Choonkil Mir, Nazir Ahmad
Published in
Advances in Difference Equations
A highly efficient new three-step derivative-free family of numerical iterative schemes for estimating all roots of polynomial equations is presented. Convergence analysis proved that the proposed simultaneous iterative method possesses 12th-order convergence locally. Numerical examples and computational cost are given to demonstrate the capability...
Ibrahim, Rabha W. Aldawish, Ibtisam Baleanu, Dumitru
Published in
Advances in Difference Equations
The central purpose of this effort is to investigate analytic and geometric properties of a class of normalized analytic functions in the open unit disk involving Bernoulli’s formula. As a consequence, some solutions are indicated by the well-known hypergeometric function. The class of starlike functions is investigated containing the suggested cla...
Etemad, Sina Tellab, Brahim Deressa, Chernet Tuge Alzabut, Jehad Li, Yongkun Rezapour, Shahram
Published in
Advances in Difference Equations
In this paper, we introduce a new structure of the generalized multi-point thermostat control model motivated by its standard model. By presenting integral solution of this boundary problem, the existence property along with the uniqueness property are investigated by means of a special version of contractions named μ-φ-contractions and the Banach ...
Tesfaye, Aychew Wondyfraw Satana, Tesfaye Sama
Published in
Advances in Difference Equations
In this paper, we formulate an SVITR deterministic model and extend it to a stochastic model by introducing intensity of stochastic factors and Brownian motion. Our basic qualitative analysis of both models includes the positivity of the solution, invariant region, disease-free equilibrium point, basic reproduction number, local and global stabilit...
Cui, Jixian
Published in
Advances in Difference Equations
In this paper, a Hessian type system is studied. After converting the existence of an entire solution to the existence of a fixed point of a continuous mapping, the existence of entire k-convex radial solutions is established by the monotone iterative method. Moreover, a nonexistence result is also obtained.
