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Oscillatory and complex behaviour of caputo-fabrizio fractional order hiv-1 infection model

Ahmad, Shabir; Ullah, Aman; Partohaghighi, Mohammad; Saifullah, Sayed; Akgül, Ali; Jarad, Fahd (2022)

HIV-1 infection is a dangerous diseases like Cancer, AIDS, etc. Many mathematical models have been introduced in the literature, which are investigated with different approaches. In this article, we generalize the HIV-1 ...

Oscillation result for half-linear delay di erence equations of second-order

Jayakumar, Chinnasamy; Santra, Shyam Sunda; Baleanu, Dumitru; Edwan, Reem; Govindan, Vediyappan; Murugesan, Arumugam; Altanji, Mohamed (2022)

In this paper, we obtain the new single-condition criteria for the oscillation of secondorder half-linear delay difference equation. Even in the linear case, the sharp result is new and, to our knowledge, improves all ...

Oscillation criteria for even order dynamic equations on time-scales

Grace, Said R.; Agarwal, Ravi P.; Kaymakçalan, Billur (2011)

Some new criteria for the oscillation of even order linear dynamic equations on time-scales of the form xΔn(t) + q(t)x(t) = 0 are established.

Orthonormal piecewise Vieta-Lucas functions for the numerical solution of the one- and two-dimensional piecewise fractional Galilei invariant advection-diffusion equations

Heydari, Mohammad Hossein; Razzaghi, Mohsen; Baleanu, Dumitru (2023-07)

Introduction: Recently, a new family of fractional derivatives called the piecewise fractional derivatives has been introduced, arguing that for some problems, each of the classical fractional derivatives may not be able ...

Optimal variational iteration method for parametric boundary value problem

Ain, Qura Tul; Nadeem, Muhammad; Karim, Shazia; Akgül, Ali; Jarad, Fahd (2022)

Mathematical applications in engineering have a long history. One of the most well-known analytical techniques, the optimal variational iteration method (OVIM), is utilized to construct a quick and accurate algorithm for ...

Optimal system and symmetry reduction of the (1+1) dimensional Sawada-Kotera equation

Kadkhoda, N.; Jafari, H.; Moremedi, G.M.; Baleanu, D. (2016)

We study the nonlinear fifth order (1 + 1) dimensional Sawada-Kotera equation using Lie symmetry group. For this equation Lie point symmetry operators and optimal system are obtained. We determine the corresponding invariant ...

Optical solitons with nonlinear dispersion in parabolic law medium and three-component coupled nonlinear Schrödinger equation

Yusuf, Abdullahi; Sulaiman, Tukur Abdulkadir; Alshomrani, Ali S.; Baleanu, Dumitru (2022-06)

The current study looks at two different nonlinear Schrödinger equations. These equations have several applications in science and engineering, such as nonlinear fiber optics, electromagnetic field waves, and signal ...

Optical solitons to the Ginzburg–Landau equation including the parabolic nonlinearity

Hosseini, K.; Mirzazadeh, M.; Akinyemi, L.; Baleanu, D.; Salahshour, S. (2022-10)

The major goal of the present paper is to construct optical solitons of the Ginzburg–Landau equation including the parabolic nonlinearity. Such an ultimate goal is formally achieved with the aid of symbolic computation, a ...

Optical solitons of a high-order nonlinear Schrödinger equation involving nonlinear dispersions and Kerr effect

Hosseini, K.; Mirzazadeh, M.; Baleanu, D.; Salahshour, S.; Akinyemi, L. (2022-03)

The main aim of this paper is to conduct a detailed study on a high-order nonlinear Schrödinger (HONLS) equation involving nonlinear dispersions and the Kerr effect. More precisely, after reducing the governing model ...

Optical solitons for conformable space-time fractional non-linear model

Asjad, Muhammad Imran; Ullah, Naeem; Rehman, Hamood Ur; Baleanu, Dumitru (2022)

In search of the exact solutions of nonlinear partial differential equations in solitons form has become most popular to understand the internal features of physical phenomena. In this paper, we discovered various type of ...

Optical solitons and modulation instability analysis of an integrable model of (2+1)-Dimensional Heisenberg ferromagnetic spin chain equation

Inc, Mustafa; Aliyu, Aliyu Isa; Yusuf, Abdullahi; Baleanu, Dumitru (2017-12)

This paper addresses the nonlinear Schrödinger type equation (NLSE) in (2+1)-dimensions which describes the nonlinear spin dynamics of Heisenberg ferromagnetic spin chains (HFSC) with anisotropic and bilinear interactions ...

The Extended Laguerre Polynomials Aq,nalphax Involving Fqq,q>2

Khan, Adnan; Kalim, Muhammad; Akgül, Ali; Jarad, Fahd (2022-04)

In this paper, for the proposed extended Laguerre polynomials A α q , n x , the generalized hypergeometric function of the type F q q , q > 2 and extension of the Laguerre polynomial are introduced. Similar to those related ...

On Transformation Involving Basic Analogue to the Aleph-Function of Two Variables

Kumar, Dinesh; Baleanu, Dumitru; Ayant, Frédéric; Südland, Norbert (2022-02)

In our work, we derived the fractional order q-integrals and q-derivatives concerning a basic analogue to the Aleph-function of two variables (AFTV). We discussed a related application and the q-extension of the corresponding ...

On the Solvability of Mixed-Type Fractional-Order Non-Linear Functional Integral Equations in the Banach Space C(I)

Pathak, Vijai Kumar; Mishra, Lakshmi Narayan; Mishra, Vishnu Narayan; Baleanu, Dumitru (2022-12)

This paper is concerned with the existence of the solution to mixed-type non-linear fractional functional integral equations involving generalized proportional ((Formula presented.))-Riemann–Liouville along with Erdélyi–Kober ...

On the new Hadamard fractional optimal control problems

Zguaid, Khalid; Tajani, Asmae; Jajarmi, Amin; Baleanu, Dumitru (2023-10)

The main goal of this manuscript is to investigate a fractional optimal control problem subject to a dynamical system involving Hadamard fractional derivatives. Necessary conditions for the optimality of the considered ...

On the existence of solution for fractional differential equations of order 3< δ1≤4

Baleanu, Dumitru; Agarwal, Ravi P; Khan, Hasib; Khan, Rahmat Ali; Jafari, Hossein (2015-12-01)

In this paper, we deal with a fractional differential equation of order δ1∈(3,4] with initial and boundary conditions, (Formula Presented), addressing the existence of a positive solution (EPS), where the fractional ...

On the enhancement of thermal transport of Kerosene oil mixed TiO2and SiO2across Riga wedge ∗

Yahya, Asmat Ullah; Siddique, Imran; Jarad, Fahd; Salamat, Nadeem; Abdal, Sohaib; Hamed, Y.S.; Abualnaja, Khadijah M.; Hussain, Sajjad (2022-06)

Efficient thermal transportation in compact heat density gadgets is a prevailing issue to be addressed. The flow of a mono nanofluid (SiO2/Kerosene oil) and hybrid nanofluid (TiO2 + SiO2/Kerosene oil) is studied in context ...

On the discrete laplace transform

Ameen, Raad; Köse, Hasan; Jarad, Fahd (2019)

The objective of this paper is to introduce the discrete Laplace transform. Basic theorems related to this transformation are mentioned and the discrete Laplace transform of basic functions are given.

On some novel optical solitons to the cubic–quintic nonlinear Helmholtz model

Khater, Mostafa M. A.; Inc, Mustafa; Tariq, Kalim U.; Tchier, Fairouz; Ilyas, Hamza; Baleanu, Dumitru (2022-12)

The purpose of this study is to employ the Sine–Cosine expansion approach to produce some new sort of soliton solutions for the cubic–quintic nonlinear Helmholtz problem. The nonlinear complex model compensates for backward ...

On Some Generalizations of Integral Inequalities in n Independent Variables and Their Applications

Abuelela, Waleed; El-Deeb, Ahmed A.; Baleanu, Dumitru (2022-11)

Throughout this article, generalizations of some Grónwall–Bellman integral inequalities for two real-valued unknown functions in n independent variables are introduced. We are looking at some novel explicit bounds of a ...

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