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Editorial

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

Abdon Atangana, Z. Hammouch, G. Mophou and K. M. Owolabi

Published online: 07 August 2018

DOI: 10.1140/epjp/i2018-12160-5

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 and Yasir Mahsud

Published online: 02 August 2018

DOI: 10.1140/epjp/i2018-12105-0

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

N. A. Asif, Z. Hammouch, M. B. Riaz and H. Bulut

Published online: 24 July 2018

DOI: 10.1140/epjp/i2018-12098-6

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 and Farhad Ali

Published online: 18 July 2018

DOI: 10.1140/epjp/i2018-11899-9

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

Z. Hammouch, T. Mekkaoui and P. Agarwal

Published online: 03 July 2018

DOI: 10.1140/epjp/i2018-12096-8

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

Abdon Atangana and J. F. Gómez-Aguilar

Published online: 27 April 2018

DOI: 10.1140/epjp/i2018-12021-3

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 and M. A. Imran

Published online: 27 March 2018

DOI: 10.1140/epjp/i2018-11981-4

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

Badr Saad T. Alkahtani

Published online: 15 March 2018

DOI: 10.1140/epjp/i2018-11961-8

New results on nondensely characterized integrodifferential equations with fractional order

C. Ravichandran, K. Jothimani, Haci Mehmet Baskonus and N. Valliammal

Published online: 15 March 2018

DOI: 10.1140/epjp/i2018-11966-3

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

Ilknur Koca

Published online: 12 March 2018

DOI: 10.1140/epjp/i2018-11949-4

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

Kolade M. Owolabi

Published online: 08 March 2018

DOI: 10.1140/epjp/i2018-11951-x

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

K. M. Saad

Published online: 07 March 2018

DOI: 10.1140/epjp/i2018-11947-6

Cancer treatment model with the Caputo-Fabrizio fractional derivative

Mustafa Ali Dokuyucu, Ercan Celik, Hasan Bulut and Haci Mehmet Baskonus

Published online: 05 March 2018

DOI: 10.1140/epjp/i2018-11950-y

Tumour model with intrusive morphology, progressive phenotypical heterogeneity and memory

Abdon Atangana and Rubayyi T. Alqahtani

Published online: 01 March 2018

DOI: 10.1140/epjp/i2018-11932-1

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

Emile Franc Doungmo Goufo

Published online: 27 February 2018

DOI: 10.1140/epjp/i2018-11933-0

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

Devendra Kumar, Jagdev Singh and Dumitru Baleanu

Published online: 22 February 2018

DOI: 10.1140/epjp/i2018-11934-y

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

Berat Karaagac

Published online: 14 February 2018

DOI: 10.1140/epjp/i2018-11916-1

Open Access

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

A. Allwright and A. Atangana

Published online: 13 February 2018

DOI: 10.1140/epjp/i2018-11885-3

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

Naveed Ahmed, Sadaf Bibi, Umar Khan and Syed Tauseef Mohyud-Din

Published online: 12 February 2018

DOI: 10.1140/epjp/i2018-11896-0

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

Kolade M. Owolabi and Abdon Atangana

Published online: 12 February 2018

DOI: 10.1140/epjp/i2018-11886-2

A new numerical approximation of the fractal ordinary differential equation

Abdon Atangana and Sonal Jain

Published online: 06 February 2018

DOI: 10.1140/epjp/i2018-11895-1

A remark on fractional differential equation involving I-function

Jyoti Mishra

Published online: 05 February 2018

DOI: 10.1140/epjp/i2018-11897-y

Numerical analysis for the fractional diffusion and fractional Buckmaster equation by the two-step Laplace Adam-Bashforth method

Sonal Jain

Published online: 19 January 2018

DOI: 10.1140/epjp/i2018-11854-x

Modelling and simulation of a dynamical system with the Atangana-Baleanu fractional derivative

Kolade M. Owolabi

Published online: 18 January 2018

DOI: 10.1140/epjp/i2018-11863-9

Robust control for fractional variable-order chaotic systems with non-singular kernel

C. J. Zuñiga-Aguilar, J. F. Gómez-Aguilar, R. F. Escobar-Jiménez and H. M. Romero-Ugalde

Published online: 16 January 2018

DOI: 10.1140/epjp/i2018-11853-y

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

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