Beyond Natural Sciences
Applied Mathematics and Nonlinear Sciences

Applied Mathematics and Nonlinear Sciences publishes one volume per year divided into two issues of around 25 papers each one. The first issue is closed on end June and the second one is closed at end December. If a paper is accepted and the current issue is closed the paper will be located in the Forthcoming Papers section awaiting position in the next issue.


8.- Research on relationship between tourism income and economic growth based on meta-analysis
Yong Qin, Yuyan Luo, Yuqing Zhao, Jin Zhang
(Pages 105–114)
7.- Perturbation analysis of a matrix differential equation $\dot{x} = ABx$
M. Isabel García Planas, Tetiana Klymchuk
(Pages 97–104)
6.- Analysis of models for viscoelastic wave propagation
Thomas Brown, Shukai Du, Hasan Eruslu, Francisco-Javier Sayas
(Pages 55–96)

Open Access
5.- Peristaltic slip flow of a Bingham fluid in an inclined porous conduit with Joule heating
P. Lakshminarayana, K. Vajravelu, G. Sucharitha, S. Sreenadh
(Pages 41–54)
4.- Revan and hyper-Revan indices of Octahedral and icosahedral networks
Abdul Qudair Baig, Muhammad Naeem, Wei Gao
(Pages 33–40)
3.- Perfect phase-coded pulse trains generated by Talbot effect
Carlos Férnandez-Pousa
(Pages 23–32)
2.- A global solution for a reaction-diffusion equation on bounded domains
Farhad Khellat, Mahmud Beyk Khormizi
(Pages 15–22)
46.- Model atmosphere analysis of two new early-type O4 dwarfs stars
D.A. Fouda, M. Hamdy, M. Nouh, M. Beheary, Abdelaziz Bakrey, S.M. Saad
(Pages 559–564)

Open Access
40.- Symmetry Reductions for a Generalized Fifth Order KdV Equation
Maria Bruzon, Tamara Maria Garrido, Rafael de la Rosa
(Pages 485–494)
38.- Study the combustion processes of space debris in the Earth's atmosphere by meteoric TV camera
G.F. Attia, V.A. Leonov, A.V. Bagrov, A.M. Abdelaziz, R. Ghoneim
(Pages 473–478)
37.- Conservation laws for a Boussinesq equation.
María Luz Gandarias, María Santos Bruzón
(Pages 465–472)
36.- Bifurcation Analysis of Hysteretic Systems with Saddle Dynamics
Marina Esteban, Enrique Ponce, Francisco Torres
(Pages 449–464)
33.- New fixed point results in partial quasi-metric spaces
Oscar Valero, Zahra Mohammadi
(Pages 415–428)
31.- Structural optimization under overhang constraints imposed by additive manufacturing processes: an overview of some recent results
Grégoire Allaire, Charles Dapogny, Rafael Estevez, Alexis Faure, Georgios Michailidis
(Pages 385–402)

Open Access
27.- Three-way weighted combination-entropies based on three-layer granular structures
Wang Jun, Tang Lingyu, Zhang Xianyong, Luo Yuyan
(Pages 329–340)
26.- Mean square calculus and random linear fractional differential equations: Theory and applications
Clara Burgos Simón, Juan Carlos Cortés López, Laura Villafuerte Altúzar, Rafael Jacinto Villanueva Micó
(Pages 317–328)
25.- Smoothing vs. sharpening of color images - Together or separated
Cristina Pérez-Benito, Samuel Morillas, Cristina Jordán, J. Alberto Conejero
(Pages 299–316)

Open Access
24.- Computing First Zagreb index and F-index of New C-products of Graphs
B. Basavanagoud, Wei Gao, Shreekant Patil, Veena R. Desai, Keerthi G. Mirajkar, Pooja B
(Pages 285–298)
23.- Solving Poissons Equations with fractional order using Haarwavelet
I.K. Youssef, M.H. El Dewaik
(Pages 271–284)

Open Access
19.- Multilevel method to compute the lambda modes of the neutron diffusion equation
A. Carreño, A. Vidal-Ferrándiz, D. Ginestar, G. Verdú
(Pages 225–236)
18.- Computing the two first probability density functions of the random Cauchy-Euler differential equation: Study about regular-singular points
Juan Carlos Cortés López, Ana Navarro Quiles, Jose Vicente Romero Bauset, Maria Dolores Roselló Ferragud
(Pages 213–224)
17.- Parallel Solution of Hierarchical Symmetric Positive Definite Linear Systems
José I. Aliaga, Rocío Carratalá-Sáez, Enrique S. Quintana-Ortí
(Pages 201–212)
16.- Odd mean labeling for two star graph
S. Sudhakar, Silviya Francis, V. Balaji
(Pages 195–200)
15.- Photometric and Spectroscopic Studies of the Intermediate -Polar Cataclysmic System DQ Her
I. Zead, M. Saad, M. R. Sanad, M. M. Behary, K. Gadallah, A. Shokry
(Pages 181–194)
14.- Operations of Nanostructures via SDD, $ABC_4$ and $GA_5$ indices
V. Lokesha, T. Deepika, P.S. Ranjini, I.N. Cangul
(Pages 173–180)
13.- On the stabilizing effect of chemotaxis on bacterial aggregation patterns
J. Alejandro Butanda, Carlos Málaga, Ramón G. Plaza
(Pages 157–172)
12.- Video Observation of Perseids meteor shower 2016 from Egypt
G.F. Attia, A.M. Abdelaziz, I.N. Hassan
(Pages 151–156)
11.- QSPR Analysis of Certain Graph Theocratical Matrices and Their Corresponding Energy
Sunilkumar M. Hosamani, Bhagyashri B. Kulkarni, Ratnamma G. Boli, Vijay M. Gadag
(Pages 131–150)
10.- Regularizing algorithm for mixed matrix pencils
Tetiana Klymchuk
(Pages 123–130)
9.- Affine Transformation Based Ontology Sparse Vector Learning Algorithm
Linli Zhu, Yu Pan, Jiangtao Wang
(Pages 111–122)
7.- Computing topological indices of the line graphs of Banana tree graph and Firecracker graph
Muhammad Shoaib Sardar, Sohail Zafar, Zohaib Zahid
(Pages 83–92)
6.- An iterative method for non-autonomous nonlocal reaction-diffusion equations
Tomás Caraballo, Marta Herrera-Cobos, Pedro Marín-Rubio
(Pages 73–82)
5.- Some new standard graphs labeled by 3-total edge product cordial labeling
Yasir Ahmad, Umer Ali, Muhammad Bilal, Sohail Zafar, Zohaib Zahid
(Pages 61–72)
3.- $(\beta, \alpha)-$ Connectivity Index of Graphs
B. Basavanagoud, Viena R. Desai, Shreekant Patil
(Pages 21–30)
1.- After notes on Chebyshev's iterative method
S. Amat, S. Busquier
(Pages 1–12)
47.- On linear operators and bases on Köthe spaces
M. Maldonado, J. Prada, M. J. Senosiain
(Pages 617–624)
44.- Multi-scale Simulations of Dry Friction Using Network Simulation Method
F. Marín, F. Alhama, J. Solano, J.F. Sánchez
(Pages 559–580)
43.- A new stepsize change technique for Adams methods
M. Calvo, J.I. Montijano, L. Rández
(Pages 547–558)
41.- Monotonicity preserving representations of curves and surfaces
Jorge Delgado, Juan Manuel Peña
(Pages 517–528)
40.- Homotopy analysis method for the solution of lubrication of a long porous slider
Vishwanath B. Awati, Manjunath Jyoti
(Pages 507–516)
39.- Controllability for neutral stochastic functional integrodifferential equations with infinite delay
Tomás Caraballo, Mamadou Abdoul Diop, Aziz Mane
(Pages 493–506)
38.- Poisson and symplectic reductions of 4-DOF isotropic oscillators. The van der Waals system as benchmark
F. Crespo, G. Díaz–Toca, S. Ferrer, M. Lara
(Pages 473–492)
37.- A survey on fractal dimension for fractal structures
Manuel Fernández-Martínez
(Pages 437–472)
36.- Applied mathematics and nonlinear sciences in the war on cancer
Víctor M. Pérez-García, Susan Fitzpatrick, Luis A. Pérez-Romasanta, Milica Pesic, Philippe Schucht, Estanislao Arana, Pilar Sánchez-Gómez
(Pages 423–436)

Open Access
35.- Nonlinear waves in a simple model of high-grade glioma
Arturo Álvarez-Arenas, Juan Belmonte-Beitia, Gabriel F. Calvo
(Pages 405–422)

Open Access
32.- Note on forgotten topological index of chemical structure in drugs
Harishchandra S. Ramane, Raju B. Jummannaver
(Pages 369–374)
31.- Multigrid method for the solution of EHL line contact with bio-based oils as lubricants
Vishwanath B. Awati, Shankar Naik, Mahesh Kumar
(Pages 359–368)
28.- Raptor´s “Right Hunger” Characterization to Develop Sustainable Exclusion Areas for wildlife at Civil & Military Airports
Jose Luis Roca González, Juan Antonio Vera López, Manuel Fernández Martínez
(Pages 335–344)
27.- Period Variation Study and Light Curve Analysis of the Eclipsing Binary GSC 02013- 00288
N.S. Awadalla, M.A. Hanna, M.N. Ismail, I.A. Hassan, M.A. Elkhamisy
(Pages 321–334)
24.- Redefined Zagreb indices of Some Nano Structures
Bo Zhao, Jianhou Gan, Hualong Wu
(Pages 291–300)

Open Access
23.- Computation of the fifth Geometric-Arithmetic Index for Polycyclic Aromatic Hydrocarbons PAHk
Mehdi Alaeiyan, Mohammad Reza Farahani, Muhammad Kamran Jamil
(Pages 283–290)
22.- A Comparison between Integer and Fractional Order PDµ Controllers for Vibration Suppression
Isabela R. BIRS, Cristina I. MURESAN, Silviu FOLEA, Ovidiu PRODAN
(Pages 273–282)
19.- Computing Eccentric Version of Second Zagreb Index of Polycyclic Aromatic Hydrocarbons (PAH_{k})
Muhammad Kamran Jamil, Mohammad Reza Farahani, Muhammad Imran, Mera Ali Malik
(Pages 247–252)
18.- Vibrational resonance: a study with high-order word-series averaging
A. Murua, J.M. Sanz-Serna
(Pages 239–246)

Open Access
16.- A model for the operations to render epidemic-free a hog farm infected by the Aujeszky disease
A. Costamagna, M. Drigo, M. Martini, B. Sona, E. Venturino
(Pages 207–228)

Open Access
15.- Jittering regimes of two spiking oscillators with delayed coupling
Vladimir Klinshov, Oleg Maslennikov, Vladimir Nekorkin
(Pages 197–206)

Open Access
14.- Contact Impact Forces at Discontinuous 2-DOF Vibroimpact
V.A. Bazhenov, O.S. Pogorelova, T.G. Postnikova
(Pages 183–196)
13.- Vertex PI$_{v}$ Topological Index of Titania Carbon Nanotubes TiO$_{2}(m,n)$
Mohammad Reza Farahani, Muhammad Kamran Jamil, Muhammad Imran
(Pages 175–182)
12.- Ontology optimization tactics via distance calculating
Yun Gao, Mohammad Reza Farahani, Wei Gao
(Pages 159–174)
11.- Overview of current techniques in remote data auditing
Hualong Wu, Bo Zhao
(Pages 145–158)
10.- On the perturbed restricted three-body problem
Elbaz I. Abouelmagd, Juan L. G. Guirao
(Pages 123–144)

Open Access

Open Access

Open Access
6.- LAV Path Planning by Enhanced Fireworks Algorithm on Prior Knowledge
Li Bing, You Ning, Du YeHong
(Pages 65–78)
5.- Friction Torque Behavior as a Function of Actual Contact Angle in Four-point-contact Ball Bearing
Chen Long, Xia Xintao, Zheng Haotian, Qiu Ming
(Pages 53–64)
2.- Boundary value problems for fractional differential equation with causal operators
Jingfei Jiang, Dengqing Cao, Huatao Chen
(Pages 11–22)

Open Access

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Applied Mathematics, Nonlinear Sciences


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