Focus Point on Modelling Complex Real-World Problems with Fractal and New Trends of Fractional Differentiation

ISSN: 2190-5444 (Online)

In this topical collection (25 articles)

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  1. Editorial

    Focus Point on Modelling Complex Real-World Problems with Fractal and New Trends of Fractional Differentiation

    Abdon Atangana, Z. Hammouch, G. Mophou, K. M. Owolabi Article:315
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    Regular Article

    MHD mixed convection Poiseuille flow in a porous medium: New trends of Caputo time fractional derivatives in heat transfer problems⋆

    Ilyas Khan, Nehad Ali Shah, Niat Nigar, Yasir Mahsud Article:299

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    Regular Article

    Analytical solution of a Maxwell fluid with slip effects in view of the Caputo-Fabrizio derivative⋆

    N. A. Asif, Z. Hammouch, M. B. Riaz, H. Bulut Article:272

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    Regular Article

    Application of the modern trend of fractional differentiation to the MHD flow of a generalized Casson fluid in a microchannel: Modelling and solution⋆

    Ilyas Khan, Muhammad Saqib, Farhad Ali Article:262

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    Regular Article

    Optical solitons for the Calogero-Bogoyavlenskii-Schiff equation in (2 + 1) dimensions with time-fractional conformable derivative

    Z. Hammouch, T. Mekkaoui, P. Agarwal Article:248

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    Regular Article

    Decolonisation of fractional calculus rules: Breaking commutativity and associativity to capture more natural phenomena

    Abdon Atangana, J. F. Gómez-Aguilar Article:166

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    Regular Article

    Influence of non-integer-order derivatives on unsteady unidirectional motions of an Oldroyd-B fluid with generalized boundary conditions

    A. A. Zafar, M. B. Riaz, N. A. Shah, M. A. Imran Article:127

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    Regular Article

    Atangana-Batogna numerical scheme applied on a linear and non-linear fractional differential equation

    Badr Saad T. Alkahtani Article:111

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    Regular Article

    New results on nondensely characterized integrodifferential equations with fractional order

    C. Ravichandran, K. Jothimani, Haci Mehmet Baskonus… Article:109

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    Regular Article

    Modelling the spread of Ebola virus with Atangana-Baleanu fractional operators

    Ilknur Koca Article:100

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    Regular Article

    Efficient numerical simulation of non-integer-order space-fractional reaction-diffusion equation via the Riemann-Liouville operator

    Kolade M. Owolabi Article:98

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    Regular Article

    Comparing the Caputo, Caputo-Fabrizio and Atangana-Baleanu derivative with fractional order: Fractional cubic isothermal auto-catalytic chemical system

    K. M. Saad Article:94

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    Regular Article

    Cancer treatment model with the Caputo-Fabrizio fractional derivative

    Mustafa Ali Dokuyucu, Ercan Celik, Hasan Bulut… Article:92

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    Regular Article

    Tumour model with intrusive morphology, progressive phenotypical heterogeneity and memory

    Abdon Atangana, Rubayyi T. Alqahtani Article:85

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    Regular Article

    An application of the Caputo-Fabrizio operator to replicator-mutator dynamics: Bifurcation, chaotic limit cycles and control

    Emile Franc Doungmo Goufo Article:80

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    Regular Article

    A new analysis of the Fornberg-Whitham equation pertaining to a fractional derivative with Mittag-Leffler-type kernel

    Devendra Kumar, Jagdev Singh, Dumitru Baleanu Article:70

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    Regular Article

    Analysis of the cable equation with non-local and non-singular kernel fractional derivative

    Berat Karaagac Article:54

  18. Regular Article

    Fractal advection-dispersion equation for groundwater transport in fractured aquifers with self-similarities

    A. Allwright, A. Atangana Article:48
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    Regular Article

    A new modification in the exponential rational function method for nonlinear fractional differential equations

    Naveed Ahmed, Sadaf Bibi, Umar Khan… Article:45

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    Regular Article

    Modelling and formation of spatiotemporal patterns of fractional predation system in subdiffusion and superdiffusion scenarios

    Kolade M. Owolabi, Abdon Atangana Article:43
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