Browsing by Author "İnç, Mustafa"
Now showing items 1-20 of 209
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Abundant explicit solutions to fractional order nonlinear evolution equations
Khatun, M. Ayesha; Arefin, Mohammad Asif; Uddin, M. Hafiz; İnç, Mustafa (Hindawi Limited, 2021)We utilize the modified Riemann-Liouville derivative sense to develop careful arrangements of time-fractional simplified modified Camassa-Holm (MCH) equations and generalized (3 + 1)-dimensional time-fractional ... -
Abundant optical solitons to the sasa satsuma higher order nonlinear schrödinger equation
Khodadad, Farid Samsami; Mirhosseini-Alizamini, Seyed Mehdi; Günay, B.; Akinyemi, Lanre; Rezazadeh, Hadi; İnç, Mustafa (Springer, 12.2021)This paper investigates a diverse collection of exact solutions to a high-order nonlinear Schrödinger equation, called the Sasa-Satsuma equation. These results are obtained for this nonlinear equation using the generalized ... -
Adequate soliton solutions to the space–time fractional telegraph equation and modified third-order KdV equation through a reliable technique
Arefn, Mohammad Asif; Sadiya, Umme; İnç, Mustafa; Uddin, M. Hafiz (Springer, 05.2022)The space–time fractional Telegraph equation and the space–time fractional modifed thirdorder Kdv equations are signifcant molding equations in theoretic physics, mathematical physics, plasma physics also other felds of ... -
Analysis and simulation of fractional order smoking epidemic model
Ahmad, Aqeel; Farman, Muhammad; Ghaffar, Abdul; İnç, Mustafa; Ahmad, Mohammad Ozair; Sene, Ndolane (Hindawi Limited, 2022)In recent years, there are many new definitions that were proposed related to fractional derivatives, and with the help of these definitions, mathematical models were established to overcome the various real-life problems. ... -
Analysis of dengue transmission using fractional order scheme
Nisar, Kottakkaran Sooppy; Ahmad, Aqeel; İnç, Mustafa; Farman, Muhammad; Rezazadeh, Hadi; Akinyemi, Lanre; Akram, Muhammad Mannan (American Institute of Mathematical Sciences, 2022)In this paper, we will check the existence and stability of the dengue internal transmission model with fraction order derivative as well as analyze it qualitatively. The solution has been determined using Atangana-Baleanu ... -
Analysis of fractional COVID-19 epidemic model under Caputo operator
Zarin, Rahat; Khan, Amir; Yusuf, Abdullahi; Abdel-Khalek, Sayed; İnç, Mustafa (Wiley, 2021)The article deals with the analysis of the fractional COVID-19 epidemic model (FCEM) with a convex incidence rate. Keeping in view the fading memory and crossover behavior found in many biological phenomena, we study the ... -
Analysis of fractional MHD convective flow with CTNs’ nanoparticles and radiative heat flux in human blood
Aleem, Maryam; İnç, Mustafa; Sarwar, Shahzad; Asjad, Muhammad Imran; Alsubaie, Abdullah S.A. (Frontiers Media S.A., 2022)Abstract The aim of the article is two-fold. We first analyze and investigate free convective, unsteady, MHD blood flow with single- and multiwalled carbon nanotubes (S&MWCNTs) as nanoparticles. The blood flow has been ... -
Analysis of fractional order diarrhea model using fractal fractional operator
Yao, Shao-Wen; Ahmad, Aqeel; İnç, Mustafa; Farman, Muhammad; Ghaffar, Abdul; Akgül, Ali (World Scientific, 2022)In this paper, we construct a scheme of fractional-order mathematical model for the population infected by diarrhea disease by using the four compartments S, I, T and R. The fractal-fractional derivative operator (FFO) ... -
Analysis of fractional-order nonlinear dynamic systems under Caputo differential operator
Yusuf, Abdullahi; Acay, Bahar; İnç, Mustafa (Wiley, 15.09.2021)The current study presents a detailed analysis of two crucial real-world problems under the Caputo fractional derivative in order to deliver some desired results for the ecosystem. In view of the fact that memory effect ... -
Analysis of novel fractional COVID-19 model with real-life data application
İnç, Mustafa; Acay, Bahar; Berhe, Hailay Weldegiorgis; Yusuf, Abdullahi; Khan, Amir; Yao, Shao Wen (Elsevier, 04.2021)The current work is of interest to introduce a detailed analysis of the novel fractional COVID-19 model. Non-local fractional operators are one of the most efficient tools in order to understand the dynamics of the disease ... -
An analytical approach to the solution of fractional-coupled modified equal width and fractional - coupled Burgers equations
Khatun, M. Ayesha; Arefin, Mohammad Asif; Uddin, M. Hafiz; İnç, Mustafa; Akbar, M. Ali (Shanghai Jiaotong University, 2022)We opted to construct a traveling wave solution to the nonlinear space-time fractional coupled modified equal width (CMEW) equation and the space-time fractional-coupled Burgers equation, which are often used as an ... -
Analytical novel solutions to the fractional optical dynamics in a medium with polynomial law nonlinearity and higher order dispersion with a new local fractional derivative
Yepez Martinez, Huitzilin; Khater, Mostafa M.A.; Rezazadeh, Hadi; İnç, Mustafa (Elsevier, 30.12.2021)Novel solutions for the nonlinear dynamics of Schrödinger equation for polynomial law medium with third-order dispersion (TOD), fourth-order dispersion (FOD), and self-steepening are investigated based in a novel local ... -
Analytical solutions of the fifth-order time fractional nonlinear evolution equations by the unified method
Majeed, Abdul; Rafiq, Muhammad Naveed; Kamran, Mohsin; Abbas, Muhammad; İnç, Mustafa (World Scientific Publishing, 20.01.2022)This key purpose of this study is to investigate soliton solution of the fifth-order Sawada-Kotera and Caudrey-Dodd-Gibbon equations in the sense of time fractional local M-derivatives. This important goal is achieved by ... -
Analytical solutions to the fractional lakshmanan-porsezian-daniel model
Yepez Martinez, Huitzilin; Rezazadeh, Hadi; İnç, Mustafa; Akınlar, Mehmet Ali; Gomez-Aguilar, Jose Francisco (Springer, 01.2022)A new local fractional-order derivative operator is introduced and the Lakshmanan–Porsezian–Daniel (LPD) model is interpreted via this operator. New analytical solutions to the LPD equation is presented by Jacobi elliptic ... -
Analytical study of nonlinear water wave equations for their fractional solution structures
Zafar, Asım; İnç, Mustafa; Shakeel, Muhammad; Mohsin, Muhammad (World Scientific, 2022)This paper examines the three-dimensional nonlinear time-fractional water wave equations for their analytical wave solutions. These are the equations of the names (3 + 1)-Zakharov-Kuznetsov-Burgers equation and (3 + ... -
Attitude of the modulation instability gain in oppositely directed coupler with the effects of the intrapulse raman scattering and saturable function
Houwe, Alphonse; Abbagari, Souleymanou; Saliou, Youssoufa; İnç, Mustafa; Doka, Serge Yamigno; Bouetou, Thomas B.; Bayram, Mustafa (Elsevier, 12.2021)To establish the effects of the Higher-Order Dispersion (HOD) and Raman Scattering (RS) on ModulationInstability (MI) in the presence of the Saturable Function (SF), it is used the Coupled Nonlinear SchrödingerEquation ... -
Bifurcation of new optical solitary wave solutions for the nonlinear long-short wave interaction system via two improved models of (G′G) expansion method
Khater, Mostafa M. A.; Akbar, M. Ali; Akinyemi, Lanre; Jhangeer, Adil; Rezazadeh, Hading; İnç, Mustafa (Springer, 09.2021)This study performs two recent methods on the nonlinear long-short wave interaction system (NLSWIS) to obtain novel formulas of solitary solutions representing an optical feld that does not alter by multiplication a sensitive ... -
Boundary value problem for nonlinear fractional differential equations of variable order via kuratowski MNC technique
Benkerrouche, Amar; Baleanu, Dumitru; Souid, Mohammed Said; Hakem, Ali; İnç, Mustafa (Springer GmbH, 12.2021)In the present research study, for a given multiterm boundary value problem (BVP) involving the Riemann-Liouville fractional differential equation of variable order, the existence properties are analyzed. To achieve this ... -
Boundary value problem of Riemann-Liouville fractional differential equations in the variable exponent Lebesgue spaces Lp(.)
Refice, Ahmed; İnç, Mustafa; Hashemi, Mir Sajjad; Souid, Mohammed Said (Elsevier, 08.2022)This manuscript deals with the existence, uniqueness and stability of solutions to the boundary value problem (BVP) of Riemann-Liouville (RL) fractional differential equations (FDEs) in the variable exponent Lebesgue spaces ... -
Breather wave, lump - periodic solutions and some other interaction phenomena to the Caudrey – Dodd – Gibbon equation
Yusuf, Abdullahi; Sulaiman, Tukur Abdulkadir; İnç, Mustafa; Bayram, Mustafa (Springer Nature Switzerland, 12.07.2020)Hirota’s bilinear method is used in this paper to obtain some breather wave and lumps solutions to the Caudrey–Dodd–Gibbon equation through the symbolic Mathematica 12 package. This equation is converted into its potential ...
