Search Results - "Advances in difference equations"

Analysis of the model of HIV-1 infection of CD4+ T-cell with a new approach of fractional derivative by Baleanu, Dumitru, Mohammadi, Hakimeh, Rezapour, Shahram

“…By using the fractional Caputo–Fabrizio derivative, we investigate a new version for the mathematical model of HIV. In this way, we review the existence and…”
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Investigation of the p-Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives by Matar, M. M., Abbas, M. I., Alzabut, J., Kaabar, M. K. A., Etemad, S., Rezapour, S.

“…A newly proposed p -Laplacian nonperiodic boundary value problem is studied in this research paper in the form of generalized Caputo fractional derivatives…”
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The dynamics of COVID-19 with quarantined and isolation by Khan, Muhammad Altaf, Atangana, Abdon, Alzahrani, Ebraheem, Fatmawati

“…In the present paper, we formulate a new mathematical model for the dynamics of COVID-19 with quarantine and isolation. Initially, we provide a brief…”
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Some new edge detecting techniques based on fractional derivatives with non-local and non-singular kernels by Ghanbari, Behzad, Atangana, Abdon

“…Computers and electronics play an enormous role in today’s society, impacting everything from communication and medicine to science. The development of…”
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On a new class of fractional operators by Jarad, Fahd, Uğurlu, Ekin, Abdeljawad, Thabet, Baleanu, Dumitru

“…This manuscript is based on the standard fractional calculus iteration procedure on conformable derivatives. We introduce new fractional integration and…”
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A fractional differential equation model for the COVID-19 transmission by using the Caputo–Fabrizio derivative by Baleanu, Dumitru, Mohammadi, Hakimeh, Rezapour, Shahram

“…We present a fractional-order model for the COVID-19 transmission with Caputo–Fabrizio derivative. Using the homotopy analysis transform method (HATM), which…”
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A mathematical model of COVID-19 using fractional derivative: outbreak in India with dynamics of transmission and control by Shaikh, Amjad Salim, Shaikh, Iqbal Najiroddin, Nisar, Kottakkaran Sooppy

“…Since the first case of 2019 novel coronavirus disease (COVID-19) detected on 30 January, 2020, in India, the number of cases rapidly increased to 3819 cases…”
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Quantum Hermite–Hadamard inequality by means of a Green function by Adil Khan, Muhammad, Mohammad, Noor, Nwaeze, Eze R., Chu, Yu-Ming

“…The purpose of this work is to present the quantum Hermite–Hadamard inequality through the Green function approach. While doing this, we deduce some novel…”
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Hyperchaotic behaviors, optimal control, and synchronization of a nonautonomous cardiac conduction system by Baleanu, Dumitru, Sajjadi, Samaneh Sadat, Asad, Jihad H., Jajarmi, Amin, Estiri, Elham

“…In this paper, the hyperchaos analysis, optimal control, and synchronization of a nonautonomous cardiac conduction system are investigated. We mainly analyze,…”
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A fractional order mathematical model for COVID-19 dynamics with quarantine, isolation, and environmental viral load by Aba Oud, Mohammed A., Ali, Aatif, Alrabaiah, Hussam, Ullah, Saif, Khan, Muhammad Altaf, Islam, Saeed

“…COVID-19 or coronavirus is a newly emerged infectious disease that started in Wuhan, China, in December 2019 and spread worldwide very quickly. Although the…”
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Abundant solitary wave solutions to an extended nonlinear Schrödinger’s equation with conformable derivative using an efficient integration method by Ghanbari, Behzad, Nisar, Kottakkaran Sooppy, Aldhaifallah, Mujahed

“…The prevalence of the use of mathematical software has dramatically influenced the evolution of differential equations. The use of these useful tools leads to…”
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A new fractional SIRS-SI malaria disease model with application of vaccines, antimalarial drugs, and spraying by Kumar, Devendra, Singh, Jagdev, Al Qurashi, Maysaa, Baleanu, Dumitru

“…The present paper deals with a new fractional SIRS-SI model describing the transmission of malaria disease. The SIRS-SI malaria model is modified by using the…”
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Analyzing transient response of the parallel RCL circuit by using the Caputo–Fabrizio fractional derivative by Alizadeh, Shahram, Baleanu, Dumitru, Rezapour, Shahram

“…In this paper, the transient response of the parallel RCL circuit with Caputo–Fabrizio derivative is solved by Laplace transforms. Also, the graphs of the…”
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A nonstandard finite difference scheme for the modeling and nonidentical synchronization of a novel fractional chaotic system by Baleanu, Dumitru, Zibaei, Sadegh, Namjoo, Mehran, Jajarmi, Amin

“…The aim of this paper is to introduce and analyze a novel fractional chaotic system including quadratic and cubic nonlinearities. We take into account the…”
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New investigation of bats-hosts-reservoir-people coronavirus model and application to 2019-nCoV system by Gao, Wei, Baskonus, Haci Mehmet, Shi, Li

“…According to the report presented by the World Health Organization, a new member of viruses, namely, coronavirus, shortly 2019-nCoV, which arised in Wuhan,…”
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Mathematical model of survival of fractional calculus, critics and their impact: How singular is our world? by Atangana, Abdon

“…Fractional calculus as was predicted by Leibniz to be a paradox, has nowadays evolved to become a centre of interest for many researchers from various…”
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On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control by Baleanu, Dumitru, Sajjadi, Samaneh Sadat, Jajarmi, Amin, Defterli, Özlem

“…In this paper, we aim to analyze the complicated dynamical motion of a quarter-car suspension system with a sinusoidal road excitation force. First, we…”
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New Hermite–Hadamard-type inequalities for -convex fuzzy-interval-valued functions by Khan, Muhammad Bilal, Noor, Muhammad Aslam, Noor, Khalida Inayat, Chu, Yu-Ming

“…In this paper, we introduce the non-convex interval-valued functions for fuzzy-interval-valued functions, which are called -convex fuzzy-interval-valued…”
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Positive solutions for a class of fractional 3-point boundary value problems at resonance by Wang, Yongqing, Liu, Lishan

“…In this paper, we study the nonlocal fractional differential equation: { D 0 + α u ( t ) + f ( t , u ( t ) ) = 0 , 0 < t < 1 , u ( 0 ) = 0 , u ( 1 ) = η u ( ξ…”
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A new mathematical model for Zika virus transmission by Rezapour, Shahram, Mohammadi, Hakimeh, Jajarmi, Amin

“…We present a new mathematical model for the transmission of Zika virus between humans as well as between humans and mosquitoes. In this way, we use the…”
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