Yeni eklenenler

Some more bounded and singular pulses of a generalized scale-invariant analogue of the Korteweg–de Vries equation

Saifullah, Sayed; Alqarni, M.M.; Ahmad, Shabir; Baleanu, Dumitru; Khan, Meraj Ali; Mahmoud, Emad E. (2023-09)

We investigate a generalized scale-invariant analogue of the Korteweg–de Vries (KdV) equation, establishing a connection with the recently discovered short-wave intermediate dispersive variable (SIdV) equation. To conduct ...

Two Novel Methods for Fractional Nonlinear Whitham–Broer–Kaup Equations Arising in Shallow Water

Prakash, Amit; Verma, Vijay; Baleanu, Dumitru (2023-06)

In the present paper, we investigate the approximate analytic solution of the time-fractional nonlinear coupled Whitham–Broer–Kaup equations arising in shallow water with the aid of two novel approaches namely q -homotopy ...

Transmission dynamics of a novel fractional model for the Marburg virus and recommended actions

Singh, Jaskirat Pal; Abdeljawad, Thabet; Baleanu, Dumitru; Kumar, Sachin (2023-11)

Marburg virus disease is a particularly virulent illness that causes hemorrhagic fever and has a fatality rate of up to 88%. It belongs to the same family of pathogens as the Ebola virus. The disease was first identified ...

Solving an integral equation vian orthogonal neutrosophic rectangular metric space

Mani, Gunaseelan; Gnanaprakasam, Arul Joseph; Varadharajan, Vidhya; Jarad, Fahd (2023)

In this paper, we introduce the notion of an orthogonal neutrosophic rectangular metric space and prove fixed point theorems. We extend some of the well-known results in the literature. As applications of the main results, ...

Solving an integral equation via orthogonal generalized α-ψ-Geraghty contractions

Prakasam, Senthil Kumar; Gnanaprakasam, Arul Joseph; Mani, Gunaseelan; Jarad, Fahd (2023)

In this paper, we introduce orthogonal generalized O-α-ψ-Geraghty contractive type mappings and prove some fixed point theorems in O-complete O-b-metric spaces. We also provide an illustrative example to support our theorem. ...

Solving 2D-integro-differential problems with nonlocal boundary conditions via a matrix formulated approach

Borhanifar, A.; Shahmorad, S.; Feizi, E.; Baleanu, D. (2023-11)

A new operational matrix based approach is studied for numerical solution of 2D-integro-differential equations with non-local (integral) boundary conditions whose arise in some physical problems. Some important theoretical ...

Solitons of the (1 + 1) - and (2 + 1) -Dimensional Chiral Nonlinear Schrodinger Equations with the Jacobi Elliptical Function Method

Tala-Tebue, Eric; Rezazadeh, Hadi; Javeed, Shumaila; Baleanu, Dumitru; Korkmaz, Alper (2023-09)

Our objective is to find new analytical solutions of the (1 + 1) - and (2 + 1) -dimensional Chiral nonlinear Schrodinger (CNLS) equations using the Jacobi elliptical function method. The CNLS equations play a significant ...

Solitons in magnetized plasma with electron inertia under weakly relativistic effect

Kalita, J.; Das, R.; Hosseini, K.; Baleanu, Dumitru; Salahshour, S. (2023-02)

In this relativistic consideration, the energy integral unlike others has been derived in a weakly relativistic plasma in terms of Sagdeev potential. Both compressive and rarefactive subsonic solitary waves are found to ...

Solitary wave solutions to Gardner equation using improved (Ω(sic)/2 ) tan 2 -expansion method

Akram, Ghazala; Sadaf, Maasoomah; Dawood, Mirfa; Abbas, Muhammad; Baleanu, Dumitru (2023)

In this study, the improved tan(Omega(sic)/2 )-expansion method is used to construct a variety of precise soliton and other solitary wave solutions of the Gardner equation. Gardner equation is extensively utilized in plasma ...

Small amplitude ion-acoustic solitary waves in a magnetized ion-beam plasma under the effect of ion and beam temperatures

Madhukalya, B.; Das, R.; Hosseini, K.; Baleanu, D.; Salahshour, S. (2023-04)

In the present research of magnetized plasmas, both rarefactive and compressive solitons are found to exist, based on the values of certain parameters. It has been shown in the present investigation that inclusion of beam ...

Simulating systems of Itô SDEs with split-step (α, β)-Milstein scheme

Ranjbar, Hassan; Torkzadeh, Leila; Baleanu, Dumitru; Nouri, Kazem (2023)

In the present study, we provide a new approximation scheme for solving stochastic differential equations based on the explicit Milstein scheme. Under sufficient conditions, we prove that the split-step (α, β)-Milstein ...

Sawi transform and Hyers-Ulam stability of nth order linear differential equations

Jayapriya, Manickam; Ganesh, Anumanthappa; Santra, Shyam Sundar; Edwan, Reem; Baleanu, Dumitru; Khedher, Khaled Mohamed (2023)

The use of the Sawi transform has increased in the light of recent events in different approaches. The Sawi transform is also seen as the easiest and most effective way among the other transforms. In line with this, the ...

Theoretical And Numerical Computations Of Convexity Analysis For Fractional Differences Using Lower Boundedness

Mohammed, Pshtiwan Othman; Baleanu, Dumitru; Al-Sarairah, Eman; Abdeljawad, Thabet (2023)

his study focuses on the analytical and numerical solutions of the convexity analysis for fractional differences with exponential and Mittag-Leffler kernels involving negative and nonnegative lower bounds. In the analytical ...

The nonlocal coupled system of Caputo–Fabrizio fractional q-integro differential equation

Ali, Khalid K.; Raslan, K.R.; Ibrahim, Amira Abd-Elall; Baleanu, Dumitru (2023)

This scheme's main goal is to examine the existence, uniqueness, and continuous dependence of solutions for a nonlinear coupled system of fractional q-integro-differential equations involving the derivation and integration ...

The impact of standard and nonstandard finite difference schemes on HIV nonlinear dynamical model

Bukhsh, Imam; Asjad, Muhammad Imran; Eldin, Sayed M.; El-Rahman, Magda Abd; Baleanu, Dumitru; Li, Shuo (2023-08)

Mathematical models are enormously valuable in recognition the characteristics of infectious afflictions. The present study describes and analyses a nonlinear Susceptible-Infected (S·I) type mathematical model for HIV/AIDS. ...

Recent Advances On Metric Fixed Point Theory: A Review

Karapınar, Erdal (2023)

In this note, we underline that some of the recent metric fixed point results overlap or repeat the previously existing corresponding ones. Further, we observe that some recently published results, which we might perceive ...

Realization of optical solitons from nonlinear Schrödinger equation using modified Sardar sub-equation technique

Ibrahim, Salisu; Ashir, Abubakar M.; Sabawi, Younis A.; Baleanu, Dumitru (2023-07)

This study presents a novel modification of the Sardar sub-equation method for solving the nonlinear SchrÖdinger equation (NLSE) with second order spatiotemporal dispersion and group velocity dispersion, which is used to ...

Quadratic and cubic logistic models involving Caputo-Fabrizio operator

Al Fahel, Sara; Baleanu, Dumitru; Al-Mdallal, Qasem M.; Saad, Khaled M. (2023-11)

In this paper, we numerically investigate the fractional quadratic and cubic logistic models involving the Caputo-Fabrizio operator. We construct the successive iterations using the theory of fractional calculus and Lagrange ...

Remarks On Some Generalizations Of θ-Contraction

Karapınar, Erdal (2023)

The concept of θ-contraction was modified and generalized in several ways during the last decade. Some assumptions concerning the class Θ are shown to be super-fluous in order to obtain a unique fixed point for a θ-type ...

Predictive dynamical modeling and stability of the equilibria in a discrete fractional difference COVID-19 epidemic model

Chu, Yu-Ming; Rashid, Saima; Akdemir, Ahmet Ocak; Khalid, Aasma; Baleanu, Dumitru; Al-Sinan, Bushra R.; Elzibar, O. A. I. (2023-06)

The SARSCoV-2 virus, also known as the coronavirus-2, is the consequence of COVID-19, a severe acute respiratory syndrome. Droplets from an infectious individual are how the pathogen is transmitted from one individual to ...

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