Investigation of mathematical model of transmission co-infection TB in HIV community with a non-singular kernel

[1]  R. T. Matoog,et al.  Study on the mathematical modelling of COVID-19 with Caputo-Fabrizio operator , 2021, Chaos, Solitons & Fractals.

[2]  Mati ur Rahman,et al.  Investigation of fractal-fractional order model of COVID-19 in Pakistan under Atangana-Baleanu Caputo (ABC) derivative , 2021, Results in Physics.

[3]  AMIR ALI,et al.  INVESTIGATION OF FRACTIONAL ORDER SINE-GORDON EQUATION USING LAPLACE ADOMIAN DECOMPOSITION METHOD , 2021 .

[4]  Z. Khan,et al.  Investigation of Hirota equation: Modified double Laplace decomposition method , 2021, Physica Scripta.

[5]  M. Shahgholi,et al.  Nonlinear dynamic behavior and bifurcation analysis of a rotating viscoelastic size-dependent beam based on non-classical theories , 2020, The European Physical Journal Plus.

[6]  A. Ullah,et al.  On analysis of the fractional mathematical model of rotavirus epidemic with the effects of breastfeeding and vaccination under Atangana-Baleanu (AB) derivative , 2020 .

[7]  Mati ur Rahman,et al.  Investigating a nonlinear dynamical model of COVID-19 disease under fuzzy caputo, random and ABC fractional order derivative , 2020, Chaos, Solitons & Fractals.

[8]  Harendra Singh,et al.  Analysis for fractional dynamics of Ebola virus model , 2020, Chaos, Solitons & Fractals.

[9]  Abdon Atangana,et al.  Modelling the spread of COVID-19 with new fractal-fractional operators: Can the lockdown save mankind before vaccination? , 2020, Chaos, Solitons & Fractals.

[10]  D. Baleanu,et al.  A new study on the mathematical modelling of human liver with Caputo–Fabrizio fractional derivative , 2020 .

[11]  Thabet Abdeljawad,et al.  Dynamical study of fractional order mutualism parasitism food web module , 2020 .

[12]  D. Baleanu,et al.  A mathematical theoretical study of a particular system of Caputo–Fabrizio fractional differential equations for the Rubella disease model , 2020 .

[13]  S. M. Pourkiaei,et al.  Theoretical and experimental studies of heat transfer in a double-pipe heat exchanger equipped with twisted tape and nanofluid , 2020, The European Physical Journal Plus.

[14]  Tugba Akman Yildiz,et al.  New aspects of time fractional optimal control problems within operators with nonsingular kernel , 2020, Discrete & Continuous Dynamical Systems - S.

[15]  Kazeem Oare Okosun,et al.  A fractional order pine wilt disease model with Caputo–Fabrizio derivative , 2018, Advances in Difference Equations.

[16]  Abdon Atangana,et al.  Fractional derivatives with no-index law property: Application to chaos and statistics , 2018, Chaos, Solitons & Fractals.

[17]  J. F. Gómez‐Aguilar,et al.  Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler laws , 2018, Chaos, Solitons & Fractals.

[18]  Abdon Atangana,et al.  Non validity of index law in fractional calculus: A fractional differential operator with Markovian and non-Markovian properties , 2018, Physica A: Statistical Mechanics and its Applications.

[19]  Saif Ullah,et al.  Modeling and analysis of the fractional HBV model with Atangana-Baleanu derivative , 2018, The European Physical Journal Plus.

[20]  Dumitru Baleanu,et al.  On the analysis of fractional diabetes model with exponential law , 2018, Advances in Difference Equations.

[21]  J. F. Gómez‐Aguilar,et al.  Decolonisation of fractional calculus rules: Breaking commutativity and associativity to capture more natural phenomena , 2018 .

[22]  Devendra Kumar,et al.  A fractional epidemiological model for computer viruses pertaining to a new fractional derivative , 2018, Appl. Math. Comput..

[23]  Ilknur Koca,et al.  Novel analysis of the fractional Zika model using the Adams type predictor-corrector rule for non-singular and non-local fractional operators , 2017 .

[24]  Prama Setia Putra,et al.  Mathematical modeling of transmission co-infection tuberculosis in HIV community , 2017 .

[25]  Dumitru Baleanu,et al.  Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels , 2016 .

[26]  Ilknur Koca,et al.  Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order , 2016 .

[27]  A. Atangana,et al.  New Fractional Derivatives with Nonlocal and Non-Singular Kernel: Theory and Application to Heat Transfer Model , 2016, 1602.03408.

[28]  M. Caputo,et al.  A new Definition of Fractional Derivative without Singular Kernel , 2015 .

[29]  Markus Sköld,et al.  Tuberculosis and HIV Co-Infection , 2012, PLoS pathogens.

[30]  S. Vermund,et al.  Effect of treating co-infections on HIV-1 viral load: a systematic review. , 2010, The Lancet. Infectious diseases.

[31]  Reuben Granich,et al.  HIV infection-associated tuberculosis: the epidemiology and the response. , 2010, Clinical infectious diseases : an official publication of the Infectious Diseases Society of America.

[32]  M. Möller,et al.  Current findings, challenges and novel approaches in human genetic susceptibility to tuberculosis. , 2010, Tuberculosis.

[33]  V. Lakshmikantham,et al.  Nagumo-type uniqueness result for fractional differential equations , 2009 .

[34]  Christopher Dye,et al.  The growing burden of tuberculosis: global trends and interactions with the HIV epidemic. , 2003, Archives of internal medicine.

[35]  D. Santis LAUNCH OF 2003 AIDS EPIDEMIC UPDATE UNAIDS AND WHO TO RELEASE NEW GLOBAL AIDS EPIDEMIC UPDATE REPORT FOR WORLD AIDS DAY , 2003 .

[36]  E. Arts,et al.  Impact of tuberculosis on HIV-1 replication, diversity, and disease progression. , 2002, AIDS reviews.

[37]  R. Hilfer Applications Of Fractional Calculus In Physics , 2000 .

[38]  I. Podlubny Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications , 1999 .

[39]  M. Shitikova,et al.  Applications of Fractional Calculus to Dynamic Problems of Linear and Nonlinear Hereditary Mechanics of Solids , 1997 .

[40]  D. Hom,et al.  Accelerated course of human immunodeficiency virus infection after tuberculosis. , 1995, American journal of respiratory and critical care medicine.

[41]  O. Marichev,et al.  Fractional Integrals and Derivatives: Theory and Applications , 1993 .

[42]  S. Vermund,et al.  A prospective study of the risk of tuberculosis among intravenous drug users with human immunodeficiency virus infection. , 1989, The New England journal of medicine.