Padhee, M., Zhang, S., Lie, S., Wang, K.C., Botting, K.J., McMillen, I.C., MacLaughlin, S.M., Morrison, J.L.: The periconceptional environment and cardiovascular disease: does in vitro embryo culture and transfer influence cardiovascular development and health? Nutrients **7**(3), 1378–1425 (2015)

Article
Google Scholar

Cuervo, M., Sayon-Orea, C., Santiago, S., Martinez, J.A.: Dietary and health profiles of Spanish women in preconception, pregnancy and lactation. Nutrients **6**(10), 4434–4451 (2014)

Article
Google Scholar

Neugebauer, R., Hoek, H.W., Susser, E.: Prenatal exposure to wartime famine and development of antisocial personality disorder in early adulthood. JAMA **282**(5), 455–462 (1999)

Article
Google Scholar

Vonnahme, K.A., Lemley, C.O., Caton, J.S., Meyer, A.M.: Impacts of maternal nutrition on vascularity of nutrient transferring tissues during gestation and lactation. Nutrients **7**(5), 3497–3523 (2015)

Article
Google Scholar

Zheng, J., Xiao, X., Zhang, Q., Mao, L., Yu, M., Xu, J.: The placental microbiome varies in association with low birth weight in full-term neonates. Nutrients **7**(8), 6924–6937 (2015)

Article
Google Scholar

Zohdi, V., Lim, K., Pearson, J.T., Black, M.J.: Developmental programming of cardiovascular disease following intrauterine growth restriction: findings utilising a rat model of maternal protein restriction. Nutrients **7**(1), 119–152 (2015)

Article
Google Scholar

Roseboom, T.J., van der Meulen, J.H., Ravelli, A.C., Osmond, C., Barker, D.J., Bleker, O.P.: Effects of prenatal exposure to the Dutch famine on adult disease in later life: an overview. Mol. Cell. Endocrinol. **185**(1–2), 93–98 (2001)

Article
Google Scholar

Gitau, R., Makasa, M., Kasonka, L., Sinkala, M., Chintu, C., Tomkins, A., Filteau, S.: Maternal micronutrient status and decreased growth of Zambian infants born during and after the maize price increases resulting from the southern African drought of 2001–2002. Public Health Nutr. **8**(7), 837–843 (2005)

Article
Google Scholar

Blumfield, M.L., Nowson, C., Hure, A.J., Smith, R., Simpson, S.J., Raubenheimer, D., MacDonald-Wicks, L., Collins, C.E.: Lower protein-to-carbohydrate ratio in maternal diet is associated with higher childhood systolic blood pressure up to age four years. Nutrients **7**(5), 3078–3093 (2015)

Article
Google Scholar

Block, S.A., Kiess, L., Webb, P., Kosen, S., Moench-Pfanner, R., Bloem, M.W., Timmer, C.P.: Macro shocks and micro outcomes: child nutrition during Indonesia’s crisis. Econ. Hum. Biol. **2**(1), 21–44 (2004)

Article
Google Scholar

Colon-Ramos, U., Racette, S.B., Ganiban, J., Nguyen, T.G., Kocak, M., Carroll, K.N., Völgyi, E., Tylavsky, F.A.: Association between dietary patterns during pregnancy and birth size measures in a diverse population in southern US. Nutrients **7**(2), 1318–1332 (2015)

Article
Google Scholar

Tsuduki, T., Yamamoto, K., Shuang, E., Hatakeyama, Y., Sakamoto, Y.: High dietary fat intake during lactation promotes the development of social stress-induced obesity in the offspring of mice. Nutrients **7**(7), 5916–5932 (2015)

Article
Google Scholar

Martin-Prevel, Y., Delpeuch, F., Traissac, P., Massamba, J.P., Adou-Oyila, G., Coudert, K., Treche, S.: Deterioration in the nutritional status of young children and their mothers in Brazzaville, Congo following the 1994 devaluation of the CFA franc. Bull. World Health Organ. **78**(1), 108–118 (2000)

Google Scholar

Rao, S., Yajnik, C.S., Kanade, A., Fall, C.H., Margetts, B.M., Jackson, A.A., Shier, R., Joshi, S., Rege, S., Lubree, H., Desai, B.: Intake of micronutrient-rich foods in rural Indian mothers is associated with the size of their babies at birth: Pune Maternal Nutrition Study. J. Nutr. **131**(4), 1217–1224 (2001)

Article
Google Scholar

Silva, C.J., Torres, D.F.M.: A SICA compartmental model in epidemiology with application to HIV/AIDS in Cape Verde. Ecol. Complex. **30**, 70–75 (2017)

Article
Google Scholar

Wang, Y., Liu, J., Liu, L.: Viral dynamics of an HIV model with latent infection incorporating antiretroviral therapy. Adv. Differ. Equ. **2016**, Article ID 225 (2016)

Article
MathSciNet
Google Scholar

Kiryakova, V.S.: Generalized Fractional Calculus and Applications. CRC Press, Boca Raton (1993)

MATH
Google Scholar

Liu, Z., Lu, P.: Stability analysis for HIV infection of CD4+ T-cells by a fractional differential time-delay model with cure rate. Adv. Differ. Equ. **2014**, Article ID 298 (2014)

Article
MathSciNet
MATH
Google Scholar

Bolton, L., Cloot, A.H., Schoombie, S.W., Slabbert, J.P.: A proposed fractional-order Gompertz model and its application to tumour growth data. Math. Med. Biol. **32**(2), 187–207 (2015)

Article
MathSciNet
MATH
Google Scholar

Bodo, B., Mvogo, A., Morfu, S.: Fractional dynamical behavior of electrical activity in a model of pancreatic *β*-cells. Chaos Solitons Fractals **102**, 426–432 (2017)

Article
MathSciNet
Google Scholar

Arshad, S., Baleanu, D., Bu, W., Tang, Y.: Effects of HIV infection on CD4+ T-cell population based on a fractional-order model. Adv. Differ. Equ. **2017**, Article ID 92 (2017)

Article
MathSciNet
Google Scholar

Ford, N.J., Simpson, A.C.: The numerical solution of fractional differential equations: speed versus accuracy. Numer. Algorithms **26**(4), 333–346 (2001)

Article
MathSciNet
MATH
Google Scholar

Toufik, M., Atangana, A.: New numerical approximation of fractional derivative with non-local and non-singular kernel: application to chaotic models. Eur. Phys. J. Plus **132**, Article ID 444 (2017)

Article
Google Scholar

Atangana, A., Jain, S.: A new numerical approximation of the fractal ordinary differential equation. Eur. Phys. J. Plus **133**, Article ID 37 (2018)

Article
Google Scholar

Owolabi, K.M., Atangana, A.: Analysis and application of new fractional Adams–Bashforth scheme with Caputo–Fabrizio derivative. Chaos Solitons Fractals **105**, 111–119 (2017)

Article
MathSciNet
MATH
Google Scholar

Bonyah, E., Atangana, A., Khan, M.A.: Modeling the spread of computer virus via Caputo fractional derivative and the beta-derivative. Asia Pac. J. Comput. Eng. **4**, Article ID 1 (2017)

Article
Google Scholar

Arshad, S., Baleanu, D., Huang, J., Tang, Y., Al Qurashi, M.M.: Dynamical analysis of fractional order model of immunogenic tumors. Adv. Mech. Eng. **8**(7), 1–13 (2016)

Article
Google Scholar

Alkahtani, B.S.T., Atangana, A., Koca, I.: Huge analysis of Hepatitis C model within the scope of fractional calculus. J. Nonlinear Sci. Appl. **9**, 6195–6203 (2016)

Article
MathSciNet
MATH
Google Scholar

Pinto, C.M.A., Machado, J.A.T.: Fractional model for malaria transmission under control strategies. Comput. Math. Appl. **66**(5), 908–916 (2013)

Article
MathSciNet
Google Scholar

Pinto, C.M.A., Carvalho, A.R.M.: Fractional complex-order model for HIV infection with drug resistance during therapy. J. Vib. Control **22**(9), 2222–2239 (2016)

Article
Google Scholar

Huo, J., Zhao, H., Zhu, L.: The effect of vaccines on backward bifurcation in a fractional order HIV model. Nonlinear Anal., Real World Appl. **26**, 289–305 (2015)

Article
MathSciNet
MATH
Google Scholar

Rostamy, D., Mottaghi, E.: Forward and backward bifurcation in a fractional-order SIR epidemic model with vaccination. Iran. J. Sci. Technol., Trans. A, Sci. (2018). https://doi.org/10.1007/s40995-018-0519-7

MathSciNet
Google Scholar

Rostamy, D., Mottaghi, E.: Stability analysis of a fractional-order epidemics model with multiple equilibriums. Adv. Differ. Equ. **2016**, Article ID 170 (2016)

Article
MathSciNet
Google Scholar

Rostamy, D., Mottaghi, E.: Numerical solution and stability analysis of a nonlinear vaccination model with historical effects. Hacet. J. Math. Stat. (2017). https://doi.org/10.15672/HJMS.20174720333

Google Scholar

Atangana, A., Baleanu, D.: New fractional derivatives with nonlocal and non-singular kernel: theory and application to heat transfer model. Therm. Sci. **20**(2), 763–769 (2016)

Article
Google Scholar

Podlubny, I.: Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications. Academic Press, New York (1999)

MATH
Google Scholar

Kilbas, A.A., Srivastava, H.H., Trujillo, J.J.: Theory and Applications of Fractional Differential Equations. Elsevier, New York (2006)

MATH
Google Scholar

Hilfer, R.: Applications of Fractional Calculus in Physics. World Scientific, Singapore (2000)

Book
MATH
Google Scholar

Wu, G.C., Baleanu, D., Zeng, S.D., Deng, Z.G.: Discrete fractional diffusion equation. Nonlinear Dyn. **80**, 281–286 (2015)

Article
MathSciNet
MATH
Google Scholar

Atangana, A.: On the new fractional derivative and application to nonlinear Fisher’s reaction-diffusion equation. Appl. Math. Comput. **273**, 948–956 (2016)

MathSciNet
Google Scholar

Coronel-Escamilla, A., Aguilar, J.F., Baleanu, D., Escobar-Jimenez, R.F., Olivares-Peregrino, V.H., Abundez-Pliego, A.: Formulation of Euler–Lagrange and Hamilton equations involving fractional operators with regular kernel. Adv. Differ. Equ. **2016**, Article ID 283 (2016)

Article
MathSciNet
Google Scholar

Atangana, A., Koca, I.: Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order. Chaos Solitons Fractals **89**, 447–454 (2016)

Article
MathSciNet
MATH
Google Scholar

Abdeljawad, T., Baleanu, D.: Discrete fractional differences with nonsingular discrete Mittag–Leffler kernels. Adv. Differ. Equ. **2016**, Article ID 232 (2016)

Article
MathSciNet
Google Scholar

Shah, N.H., Thakkar, F.A., Yeolekar, B.M.: Mathematical analysis of optimal control theory on underweight. Adv. Res. **8**(5), Article ID AIR.30992 (2016)

Article
Google Scholar

Al-Sulami, H., El-Shahed, M., Nieto, J.J., Shammakh, W.: On fractional order dengue epidemic model. Math. Probl. Eng. **2014**, Article ID 456537 (2014)

Article
MathSciNet
Google Scholar

Hethcote, H., Zhien, M., Shengbing, L.: Effects of quarantine in six endemic models for infectious diseases. Math. Biosci. **180**(1–2), 141–160 (2002)

Article
MathSciNet
MATH
Google Scholar

van den Driessche, P., Watmough, J.: Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Biosci. **180**(1–2), 29–48 (2002)

Article
MathSciNet
MATH
Google Scholar