Mathematical Modelling of Natural Phenomena

Preface for the Special Issue on “Special functions and analysis of PDEs” p. 1

M. Ruzhansky, P. Agarwal, I. Area and E. T. Karimov

Published online: 31 May 2017

DOI: https://doi.org/10.1051/mmnp/201712301

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Numerical Computation of a Fractional Derivative with Non-Local and Non-Singular Kernel p. 4

J.D. Djida, A. Atangana and I. Area

Published online: 31 May 2017

DOI: https://doi.org/10.1051/mmnp/201712302

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Linear Partial Divided-Difference Equation Satisfied by Multivariate Orthogonal Polynomials on Quadratic Lattices p. 14

D. D. Tcheutia, Y. Guemo Tefo, M. Foupouagnigni, E. Godoy and I. Area

Published online: 31 May 2017

DOI: https://doi.org/10.1051/mmnp/201712303

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Operational Methods and New Identities for Hermite Polynomials p. 44

C. Cesarano

Published online: 31 May 2017

DOI: https://doi.org/10.1051/mmnp/201712304

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Optimal Spraying in Biological Control of Pests p. 51

C. J. Silva, D. F. M. Torres and E. Venturino

Published online: 31 May 2017

DOI: https://doi.org/10.1051/mmnp/201712305

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Some Comprehensive Inequalities Consisting of Mittag-Leffler Type Functions in the Complex Plane p. 65

H. Irmak and P. Agarwal

Published online: 31 May 2017

DOI: https://doi.org/10.1051/mmnp/201712306

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Solvability of a Nonlocal Boundary Value Problem Involving Fractional Derivative Operators p. 72

S. Kerbal, B.J. Kadirkulov and B. Turmetov

Published online: 31 May 2017

DOI: https://doi.org/10.1051/mmnp/201712307

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Boundary Value Problem for the Time-Fractional Telegraph Equation with Caputo Derivatives p. 82

M. O. Mamchuev

Published online: 31 May 2017

DOI: https://doi.org/10.1051/mmnp/201712308

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Non-local Boundary Problem with Integral Form Transmitting Condition for Fractional Mixed Type Equation in a Composite Domain p. 95

S. Kerbal, E. Karimov and N. Rakhmatullaeva

Published online: 31 May 2017

DOI: https://doi.org/10.1051/mmnp/201712309

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Inverse Problems of a Fractional Differential Equation with Bessel Operator p. 105

F. AL-Musalhi, N. AL-Salti and S. Kerbal

Published online: 31 May 2017

DOI: https://doi.org/10.1051/mmnp/201712310

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On Isoperimetric Inequalities for the Cauchy-Robin Heat Operator p. 114

A. Kassymov, M. Sadybekov and D. Suragan

Published online: 31 May 2017

DOI: https://doi.org/10.1051/mmnp/201712311

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On Stability of the Solution of Multidimensional Inverse Problem for the Schrödinger Equation p. 119

A. S. Berdyshev and M. A. Sultanov

Published online: 31 May 2017

DOI: https://doi.org/10.1051/mmnp/201712312

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Cauchy Problem for System of the Burgers Equations Arising in the Two-velocity Hydrodynamics p. 134

G. Vasiliev, Kh. Imomnazarov, M. Kalimoldayev and B. Mamasoliyev

Published online: 31 May 2017

DOI: https://doi.org/10.1051/mmnp/201712313

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Two forms of Gradient Approximation for an Optimization Problem for the Heat Equation p. 139

S. Serovajsky and I. Shakenov

Published online: 31 May 2017

DOI: https://doi.org/10.1051/mmnp/201712314

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Mathematical Modeling of Equatorial Atmospheric Waves Similar to Those Travelling along a Hexagon-shaped Path at the North Pole of Saturn p. 146

R. N. Ibragimov

Published online: 31 May 2017

DOI: https://doi.org/10.1051/mmnp/201712315

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