[1] Addai, E., Adeniji, A., Ngungu, M., Tawiah, G.K., Marinda, E., Asamoah, J.K.K., Khan, M.A. (2023). A nonlinear fractional epidemic model for the marburg virus transmission with public health education. Scientific Reports,13(1), 19292.
[2] Ahmad, H., Khan, M.N., Ahmad, I., Omri, M., Alotaibi, M.F.(2023). A meshless method for numerical solutions of linear and nonlinear time-fractional black-scholes models. AIMS Math, 8(8):19677–19698.
[3] Ajelli, M. and Merler, S. (2012). Transmission potential and design of adequate control measures for marburg hemorrhagic fever. PloS one, 7(12):e50948.
[4] Al-Shomrani, M.M., Musa, S.S., and Yusuf, A. (2023). Unfolding the transmission dynamics of monkeypox virus: an epidemiological modelling analysis. Mathematics, 11(5):1121.
[5] Ali, Z., Kumam, P., Shah, K., and Zada, A. (2019). Investigation of ulam stability results of a coupled system of nonlinear implicit fractional differential equations. Mathematics, 7(4):341.
[6] Ambika and Sinha, A.K. (2025). Mathematical model of cancer treatment with virotherapy and immune system. Critical Reviews in Biomedical Engineering, 53(3).
[7] Aphithana, A., Ntouyas, S.K., and Tariboon, J. (2019). Existence and ulam–hyers stability for caputo conformable differential equations with four-point integral conditions. Advances in Difference Equations, 2019:1–17.
[8] Atangana, A. and Gómez-Aguilar, J.F. (2017). A new derivative with normal distribution kernel: Theory, methods and applications. Physica A: Statistical mechanics and its applications, 476:1–14.
[9] Bharat, T.A., Riches, J.D., Kolesnikova, L., Welsch, S., Krähling, V., Davey, N., Parsy, M.L., Becker, S., and Briggs, J.A. (2011). Cryo-electron tomography of marburg virus particles and their morphogenesis within infected cells. PLoS biology, 9(11):e1001196.
[10] Caputo, M. and Fabrizio, M. (2015). A new definition of fractional derivative without singular kernel. Progress in Fractional Differentiation & Applications, 1(2):73–85.
[11] Diethelm, K. (2013). A fractional calculus based model for the simulation of an outbreak of dengue fever. Nonlinear Dynamics, 71:613–619.
[12] Farman, M., Shehzad, A., Nisar, K.S., Hincal, E., and Akgul, A. (2024). A mathematical fractal-fractional model to control tuberculosis prevalence with sensitivity, stability, and simulation under feasible circumstances. Computers in Biology and Medicine, 178:108756.
[13] Feldmann, H., Slenczka, W., and Klenk, H.-D. (1996). Emerging and reemerging of filoviruses. Springer.
[14] Gear, J.S., Cassel, G., Gear, A., Trappler, B., Clausen, L., Meyers, A., Kew, M., Bothwell, T., Sher, R., Miller, G., et al. (1975). Outbreake of marburg virus disease in johannesburg. Br Med J, 4(5995):489–493.
[15] Gómez-Aguilar, J., Torres, L., Yépez-Martínez, H., Baleanu, D., Reyes, J., and Sosa, I. (2016). Fractional liénard type model of a pipeline within the fractional derivative without singular kernel. Advances in Difference Equations, 2016:1–13.
[16] Haque, Z., Kamrujjaman, M., Alam, M., and Biswas, M. (2024). Marburg virus and risk factor among infected population: A modeling study. Malaysian Journal of Mathematical Sciences, 18(1).
[17] Jain, H. and Sinha, A.K. (2025). Modeling the efficacy of wolbachia in malaria control with limited public health resources. Nonlinear Analysis: Real World Applications, 84:104325.
[18] Jan, R., Boulaaras, S., Alnegga, M., and Abdullah, F. A. (2024). Fractional-calculus analysis of the dynamics of typhoid fever with the effect of vaccination and carriers. International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 37(2):e3184.
[19] Jan, R., Razak, N. N. A., Boulaaras, S., Rajagopal, K., Khan, Z., and Almalki, Y. (2023). Fractional perspective evaluation of chikungunya infection with saturated incidence functions. Alexandria Engineering Journal, 83:35–42.
[20] Kilbas, A. (2006). Theory and applications of fractional differential equations. 204.
[21] Kuhn, J. H., Dürrwald, R., Bào, Y., Briese, T., Carbone, K., Clawson, A. N., Derisi, J. L., Garten, W., Jahrling, P. B., Kolodziejek, J., et al. (2015). Taxonomic reorganization of the family bornaviridae. Archives of virology,160:621–632.
[22] Kushavaha, S. K. and Sinha, A. K. (2024). Modeling the vertical and horizontal transmission of malaria with intermittent preventive treatment in pregnancy. SeMA Journal, pages 1–27.
[23] Leamer, E. E. (1985). Sensitivity analyses would help. The American Economic Review, 75(3):308–313.
[24] Li, H.-L., Zhang, L., Hu, C., Jiang, Y.-L., and Teng, Z. (2017). Dynamical analysis of a fractional-order predatorprey model incorporating a prey refuge. Journal of Applied Mathematics and Computing, 54:435–449.
[25] Medjoudja, M., El hadi Mezabia, M., Riaz, M. B., Boudaoui, A., Ullah, S., and Awwad, F. A. (2024). A novel computational fractional modeling approach for the global dynamics and optimal control strategies in mitigating marburg infection. AIMS Mathematics, 9(5):13159–13194.
[26] Ndendya, J. Z., Mureithik, E., Mwasunda, J. A., and Kagaruki, G. B. (2024). Mathematical modeling and analysis of marburg virus disease dynamics. SSRN.
[27] Nisar, K. S., Farman, M., Hincal, E., and Shehzad, A. (2023). Modelling and analysis of bad impact of smoking in society with constant proportional-caputo fabrizio operator. Chaos, Solitons & Fractals, 172:113549.
[28] Odibat, Z. M. and Momani, S. (2008). An algorithm for the numerical solution of differential equations of fractional order. Journal of Applied Mathematics & Informatics, 26(1):15–27.
[29] Odibat, Z. M. and Shawagfeh, N. T. (2007). Generalized taylors formula. Applied Mathematics and computation, 186(1):286–293.
[30] Pinto, C. M., Tenreiro Machado, J., and Burgos-Simón, C. (2024). Modified siqr model for the covid-19 outbreak in several countries. Mathematical Methods in the Applied Sciences, 47(5):3273–3288.
[31] Sah, R., Reda, A., Lashin, B. I., Abdelaal, A., Mohanty, A., Siddiq, A., and Padhi, B. K. (2022). Marburg virus and monkeypox virus: The concurrent outbreaks in ghana and the lesson learned from the marburg virus containment. J. Pure Appl. Microbiol, 16(1):3179–3184.
[32] Samko, S. G. (1993). Fractional integrals and derivatives. Theory and applications.
[33] Shyamsunder, Bhatter, S., Jangid, K., Abidemi, A., Owolabi, K. M., and Purohit, S. D. (2023). A new fractional mathematical model to study the impact of vaccination on covid-19 outbreaks. Decision Analytics Journal, 6:100156.
[34] Shyamsunder and Purohit, S. D. (2024). A novel study of the impact of vaccination on pneumonia via fractional approach. Partial Differential Equations in Applied Mathematics, 10:100698.
[35] Singh, J. P., Abdeljawad, T., Baleanu, D., and Kumar, S. (2023). Transmission dynamics of a novel fractional model for the marburg virus and recommended actions. The European Physical Journal Special Topics, 232(14):2645–2655.
[36] Soni, K. and Sinha, A. K. (2024a). Modeling and stability analysis of the transmission dynamics of monkeypox with control intervention. Partial Differential Equations in Applied Mathematics, 10:100730.
[37] Soni, K. and Sinha, A. K. (2024b). Modeling marburg virus control with limited hospital beds: a fractional approach. Physica Scripta, 100(1):015251.
[38] Srivastava, A. et al. (2024). Optimal control of a fractional order seiqr epidemic model with non-monotonic incidence and quarantine class. Computers in Biology and Medicine, page 108682.
[39] Alzaid, S.S. and Alkahtani, B.S.T. and Sharma, S. and Dubey, R.S. (2021). Numerical Solution of Fractional Model of HIV-1 Infection in Framework of Different Fractional Derivatives. Journal of Function Spaces, 2021(1):6642957.
[40] Dubey, R.S. and Mishra, M.N. and Goswami, P. (2022). Effect of Covid-19 in India-A prediction through mathematical modeling using Atangana Baleanu fractional derivative. Journal of Interdisciplinary Mathematics, 25(8):2431–2444.
[41] Gellow, G.T. and Munganga, J.M.W. and Jafari, H. (2023). ANALYSIS OF A TEN COMPARTMENTAL MATHEMATICAL MODEL OF MALARIA TRANSMISSION. Advanced Mathematical Models &Applications, 8(2).
[42] Jain, R. and Arekar, K. and Dubey, R.S. (2017). Study of Bergman’s minimal blood glucose-insulin model by Adomian decomposition method. Journal of Information and Optimization Sciences, 38(1), 133–149.
[43] Kumar, P. and Yadav, M.P. (2024). Numerical approximations of groundwater flow problem using fractional variational iteration method with fractional derivative of singular and nonsingular kernels. International Journal of Mathematics for Industry, 16:2450008.
[44] Masti, I. and Sayevand, K. and Jafari, H. (2024). On analyzing two dimensional fractional order brain tumor model based on orthonormal Bernoulli polynomials and Newton’s method. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 14(1):12–19.
[45] Masti, I. and Sayevand, K. and Jafari, H. (2024). ON EPIDEMIOLOGICAL TRANSITION MODEL OF THE EBOLA VIRUS IN FRACTIONAL SENSE. Journal of Applied Analysis and Computation, 14(3):1625–1647.
[46] Modi, K. and Umate, L. and Makade, K. and Dubey, R.S. and Agarwal, P. (2021). Simulation based study for estimation of COVID-19 spread in India using SEIR model. Journal of Interdisciplinary Mathematics, 24(2):245–258.
[47] Sharma, S. and Dubey, R.S. and Chaudhary, A. (2024). Caputo fractional model for the predator–prey relation with sickness in prey and refuge to susceptible prey. International Journal of Mathematics for Industry, 1:1–12.
[48] Ul Haq, I., Ali, N., Bariq, A., Akgül, A., Baleanu, D., and Bayram, M. (2024). Mathematical modelling of covid-19 outbreak using caputo fractional derivative: stability analysis. Applied Mathematics in Science and Engineering, 32(1):2326982.
[49] Ulam, S. M. (1960). A collection of mathematical problems. (Interscience Publishers).
[50] Ulam, S. M. (2004). Problems in modern mathematics. Courier Corporation.
[51] Van den Driessche, P. and Watmough, J. (2002). Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Mathematical biosciences, 180(1-2):29–48.
[52] Washachi, J.D., Amoka, J.A., Orapine, H.O., and Baidu, A.A. (2023). Mathematical modelling of transmission dynamics of marburg virus with effective quarantine approach. CaJoST, 5(3):264–272.
[53] WHO (2022). World marburg virus report, world health organization.
[54] Yadav, M.P., Agarwal, R., Purohit, S.D., Kumar, D., and Suthar, D.L. (2022). Groundwater flow in karstic aquifer: analytic solution of dual-porosity fractional model to simulate groundwater flow. Applied Mathematics in Science and Engineering, 30(1):598–608
