Subscriber Authentication Point

EDPS Account

All issues

Topical Issues

Mathematical Modelling of Natural Phenomena

Theory and applications of fractional differentiation

Abdon Atangana, Gisèle Mophou, Jordan Hristov and Zakia Hammouch (Eds.)

Export the citation of the selected articles Export
Select all

Application of Atangana-Baleanu fractional derivative to convection flow of MHD Maxwell fluid in a porous medium over a vertical plate

K.A. Abro, I. Khan and A. Tassaddiq

Published online: 06 April 2018

DOI: https://doi.org/10.1051/mmnp/2018007

Applications of fractional derivatives to nanofluids: exact and numerical solutions

Sidra Aman, Ilyas Khan, Zulkhibri Ismail and Mohd Zuki Salleh

Published online: 06 April 2018

DOI: https://doi.org/10.1051/mmnp/2018013

New numerical approach for fractional differential equations

Abdon Atangana and Kolade M. Owolabi

Published online: 06 April 2018

DOI: https://doi.org/10.1051/mmnp/2018010

A reliable mixed method for singular integro-differential equations of non-integer order

Dumitru Baleanu, Rahmat Darzi and Bahram Agheli

Published online: 26 February 2018

DOI: https://doi.org/10.1051/mmnp/2018011

Reconstruction of the Robin boundary condition and order of derivative in time fractional heat conduction equation

Rafał Brociek and Damian Słota

Published online: 06 April 2018

DOI: https://doi.org/10.1051/mmnp/2018008

Fourth-order fractional diffusion model of thermal grooving: integral approach to approximate closed form solution of the Mullins model

Jordan Hristov

Published online: 06 April 2018

DOI: https://doi.org/10.1051/mmnp/2017080

Numerical approach to fractional blow-up equations with Atangana-Baleanu derivative in Riemann-Liouville sense

Kolade M. Owolabi

Published online: 26 February 2018

DOI: https://doi.org/10.1051/mmnp/2018006

Exact solutions for the blood flow through a circular tube under the influence of a magnetic field using fractional Caputo-Fabrizio derivatives

M.B. Riaz and A.A. Zafar

Published online: 26 February 2018

DOI: https://doi.org/10.1051/mmnp/2018005

Uniform asymptotic stability of a fractional tuberculosis model

Weronika Wojtak, Cristiana J. Silva and Delfim F.M. Torres

Published online: 06 April 2018

DOI: https://doi.org/10.1051/mmnp/2018015

Fractional compound Poisson processes with multiple internal states

Pengbo Xu and Weihua Deng

Published online: 06 April 2018

DOI: https://doi.org/10.1051/mmnp/2018001

Well-posedness of the time-space fractional stochastic Navier-Stokes equations driven by fractional Brownian motion

Pengfei Xu, Caibin Zeng and Jianhua Huang

Published online: 06 April 2018

DOI: https://doi.org/10.1051/mmnp/2018003

A different approach to the European option pricing model with new fractional operator

M. Yavuz and N. Özdemir

Published online: 06 April 2018

DOI: https://doi.org/10.1051/mmnp/2018009

Numerical and analytical solutions of nonlinear differential equations involving fractional operators with power and Mittag-Leffler kernel

H. Yépez-Martínez and J.F. Gómez-Aguilar

Published online: 26 February 2018

DOI: https://doi.org/10.1051/mmnp/2018002

First integral method for non-linear differential equations with conformable derivative

H. Yépez-Martínez, J.F. Gómez-Aguilar and Abdon Atangana

Published online: 26 February 2018

DOI: https://doi.org/10.1051/mmnp/2018012

Existence and regularity of mild solutions to fractional stochastic evolution equations

G.A. Zou, B. Wang and Y. Zhou

Published online: 26 February 2018

DOI: https://doi.org/10.1051/mmnp/2018004