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Volume 14 / No 3 (2019)

Mathematical Modelling of Natural Phenomena

Volume 14 / No 3 (2019)

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Fractional order mathematical models in physical sciences

Modeling and analysis of fractional neutral disturbance waves in arterial vessels 301

Feixue Song, Zheyuan Yu and Hongwei Yang

Published online: 15 February 2019

DOI: https://doi.org/10.1051/mmnp/2018072

Characterizations of two different fractional operators without singular kernel 302

Mehmet Yavuz

Published online: 15 February 2019

DOI: https://doi.org/10.1051/mmnp/2018070

New aspects of fractional Biswas–Milovic model with Mittag-Leffler law 303

Jagdev Singh, Devendra Kumar and Dumitru Baleanu

Published online: 15 February 2019

DOI: https://doi.org/10.1051/mmnp/2018068

A hybrid analytical algorithm for nonlinear fractional wave-like equations 304

Devendra Kumar, Jagdev Singh, Sunil Dutt Purohit and Ram Swroop

Published online: 15 February 2019

DOI: https://doi.org/10.1051/mmnp/2018063

Response functions in linear viscoelastic constitutive equations and related fractional operators 305

Jordan Hristov

Published online: 15 February 2019

DOI: https://doi.org/10.1051/mmnp/2018067

Fractional advection–diffusion equation with memory and Robin-type boundary condition 306

Itrat Abbas Mirza, Dumitru Vieru and Najma Ahmed

Published online: 15 February 2019

DOI: https://doi.org/10.1051/mmnp/2018075

Immune response in HIV epidemics for distinct transmission rates and for saturated CTL response 307

Ana R.M. Carvalho and Carla M.A. Pinto

Published online: 26 March 2019

DOI: https://doi.org/10.1051/mmnp/2019007

Fractional order model of immune cells influenced by cancer cells 308

Esmehan Ucar, Necati Özdemir and Eren Altun

Published online: 26 March 2019

DOI: https://doi.org/10.1051/mmnp/2019002

Analysis of advective–diffusive transport phenomena modelled via non-singular Mittag-Leffler kernel 309

Derya Avci and Aylіn Yetіm

Published online: 29 March 2019

DOI: https://doi.org/10.1051/mmnp/2019011

Local generalization of transversality conditions for optimal control problem 310

Beyza Billur İskender Eroglu and Dіlara Yapişkan

Published online: 30 April 2019

DOI: https://doi.org/10.1051/mmnp/2019013

Modeling the dynamics of hepatitis E via the Caputo–Fabrizio derivative 311

Muhammad Altaf Khan, Zakia Hammouch and Dumitru Baleanu

Published online: 18 April 2019

DOI: https://doi.org/10.1051/mmnp/2018074

Initial-boundary value problems for a time-fractional differential equation with involution perturbation 312

Nasser Al-Salti, Sebti Kerbal and Mokhtar Kirane

Published online: 27 May 2019

DOI: https://doi.org/10.1051/mmnp/2019014

A new approach to capture heterogeneity in groundwater problem: An illustration with an Earth equation 313

Abdon Atangana and Rubayyi T. Alqahtani

Published online: 28 May 2019

DOI: https://doi.org/10.1051/mmnp/2018073