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Special Issue: Advanced Mathematical Modelling in Engineering: Innovative Approaches and Applications

Guest Editor

Prof. Carlos Llopis-Albert
Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, Spain
Email: cllopisa@upvnet.upv.es

Manuscript Topics


AIMS Mathematics is pleased to announce a special issue dedicated to "Advanced Mathematical Modelling in Engineering: Innovative Approaches and Applications". This special issue aims to highlight the pivotal role of mathematical modelling in solving complex engineering problems and advancing the field. As engineering challenges become increasingly intricate, the need for sophisticated mathematical techniques to analyze, predict, and optimize systems is more critical than ever.


We invite original research articles, comprehensive reviews, and case studies that showcase cutting-edge mathematical models and their applications across various engineering disciplines. Topics of interest include, but are not limited to:
• Computational Fluid Dynamics (CFD)
• Structural and Mechanical Engineering
• Electrical and Electronics Engineering
• Chemical and Process Engineering
• Environmental Engineering
• Systems and Control Theory
• Optimization and Operations Research
• Data-Driven Modelling and Machine Learning in Engineering
• Multiphysics and Multiscale Modelling
• Biomechanics and Biomedical Engineering
This special issue seeks to gather contributions that not only present novel theoretical developments but also demonstrate practical implementations and solutions to real-world engineering problems. We encourage submissions that integrate interdisciplinary approaches, leverage advanced computational techniques, and propose innovative methodologies that push the boundaries of traditional engineering practices.


Instruction for Authors
http://www.aimspress.com/math/news/solo-detail/instructionsforauthors
Please submit your manuscript to online submission system
https://aimspress.jams.pub/

Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 31 January 2025

Published Papers(32)

Research article
Lower bound of computational complexity of knapsack problems
Zhidong Zhang
2025, Volume 10, Issue 5: 11918-11938. doi: 10.3934/math.2025538
Abstract HTML PDF Viewed (606)
Research article
Advanced analytical techniques for fractional Schrödinger and Korteweg-de Vries equations
Qasem M. Tawhari
2025, Volume 10, Issue 5: 11708-11731. doi: 10.3934/math.2025530
Abstract HTML PDF Viewed (159)
Research article
Viscoelastic Pasternak foundation analysis of a thermoelastic microbeam using Moore–Gibson–Thompson heat conduction under Klein–Gordon (KG) nonlocality
Ahmed Yahya Adam Zakria Ibrahim-Elkhalil Ahmed Shams A. Ahmed Husam E. Dargail Abdelgabar Adam Hassan Eshraga Salih
2025, Volume 10, Issue 5: 10340-10358. doi: 10.3934/math.2025471
Abstract HTML PDF Viewed (277)
Research article
Bifurcation and chaos analysis of the Kadomtsev Petviashvili-modified equal width equation using a novel analytical method: describing ocean waves
Amna Mumtaz Muhammad Shakeel Abdul Manan Marouan Kouki Nehad Ali Shah
2025, Volume 10, Issue 4: 9516-9538. doi: 10.3934/math.2025439
Abstract HTML PDF Viewed (337)
Research article
Mathematical analysis of time-fractional nonlinear Kuramoto-Sivashinsky equation
Qasem M. Tawhari
2025, Volume 10, Issue 4: 9237-9255. doi: 10.3934/math.2025424
Abstract HTML PDF Viewed (296)
Research article
A normalized Caputo–Fabrizio fractional diffusion equation
Junseok Kim
2025, Volume 10, Issue 3: 6195-6208. doi: 10.3934/math.2025282
Abstract HTML PDF Viewed (515)
Research article
Applications of Elzaki transform to non-conformable fractional derivatives
Shams A. Ahmed Tarig M. Elzaki Abdelgabar Adam Hassan Husam E. Dargail Hamdy M. Barakat M. S. Hijazi
2025, Volume 10, Issue 3: 5264-5284. doi: 10.3934/math.2025243
Abstract HTML PDF Viewed (472)
Research article
Applications of conformable double Sumudu-Elzaki transform
Shams A. Ahmed Abdelgabar Adam Hassan Husam E. Dargail Adam Zakria Ibrahim-Elkhalil Ahmed Ahmed Yahya
2025, Volume 10, Issue 3: 4842-4859. doi: 10.3934/math.2025222
Abstract HTML PDF Viewed (566)
Research article
Solitonic behaviors in the coupled Drinfeld-Sokolov-Wilson system with fractional dynamics
Naher Mohammed A. Alsafri
2025, Volume 10, Issue 3: 4747-4774. doi: 10.3934/math.2025218
Abstract HTML PDF Viewed (487)
Research article
Soliton dynamics in the (2+1)-dimensional Nizhnik-Novikov-Veselov system via the Riccati modified extended simple equation method
Naveed Iqbal Meshari Alesemi
2025, Volume 10, Issue 2: 3306-3333. doi: 10.3934/math.2025154
Abstract HTML PDF Cited (1) Viewed (489)
Research article
The travelling wave phenomena of the space-time fractional Whitham-Broer-Kaup equation
Hussain Gissy Abdullah Ali H. Ahmadini Ali H. Hakami
2025, Volume 10, Issue 2: 2492-2508. doi: 10.3934/math.2025116
Abstract HTML PDF Cited (1) Viewed (502)
Research article
Analytical solution of the systems of nonlinear fractional partial differential equations using conformable Laplace transform iterative method
Nisar Gul Saima Noor Abdulkafi Mohammed Saeed Musaad S. Aldhabani Roman Ullah
2025, Volume 10, Issue 2: 1945-1966. doi: 10.3934/math.2025091
Abstract HTML PDF Viewed (687)
Research article
Improved region-based active contour segmentation through divergence and convolution techniques
Ming Shi Ibrar Hussain
2025, Volume 10, Issue 1: 654-671. doi: 10.3934/math.2025029
Abstract HTML PDF Viewed (630)
Research article
The solitary wave phenomena of the fractional Calogero-Bogoyavlenskii-Schiff equation
Hussain Gissy Abdullah Ali H. Ahmadini Ali H. Hakami
2025, Volume 10, Issue 1: 420-437. doi: 10.3934/math.2025020
Abstract HTML PDF Viewed (658)
Research article
A new solitary wave solution of the fractional phenomena Bogoyavlenskii equation via Bäcklund transformation
Yousef Jawarneh Humaira Yasmin Ali M. Mahnashi
2024, Volume 9, Issue 12: 35308-35325. doi: 10.3934/math.20241678
Abstract HTML PDF Viewed (613)
Research article
Probing the diversity of kink solitons in nonlinear generalised Zakharov-Kuznetsov-Benjamin-Bona-Mahony dynamical model
Naher Mohammed A. Alsafri Hamad Zogan
2024, Volume 9, Issue 12: 34886-34905. doi: 10.3934/math.20241661
Abstract HTML PDF Viewed (1201)
Research article
Thermoelastic vibrations for solid cylinder with voids, using Moore-Gibson-Thompson heat conduction model
Ahmed Yahya M.H Anouar Saidi Ahmed E. Abouelregal Adam Zakria Ibrahim-Elkhalil Ahmed F. A. Mohammed
2024, Volume 9, Issue 12: 34588-34605. doi: 10.3934/math.20241647
Abstract HTML PDF Viewed (901)
Research article
A new optimal control approach to uncertain Euler-Lagrange equations: H disturbance estimator and generalized H2 tracking controller
Taewan Kim Jung Hoon Kim
2024, Volume 9, Issue 12: 34466-34487. doi: 10.3934/math.20241642
Abstract HTML PDF Viewed (743)
Research article
A neural networks technique for analysis of MHD nano-fluid flow over a rotating disk with heat generation/absorption
Yousef Jawarneh Humaira Yasmin Wajid Ullah Jan Ajed Akbar M. Mossa Al-Sawalha
2024, Volume 9, Issue 11: 32272-32298. doi: 10.3934/math.20241549
Abstract HTML PDF Viewed (962)
Research article
Analyzing fractional PDE system with the Caputo operator and Mohand transform techniques
Azzh Saad Alshehry Humaira Yasmin Ali M. Mahnashi
2024, Volume 9, Issue 11: 32157-32181. doi: 10.3934/math.20241544
Abstract HTML PDF Cited (1) Viewed (847)
Research article
Optimizing cancer treatment using optimal control theory
Ahmed J. Abougarair Mohsen Bakouri Abdulrahman Alduraywish Omar G. Mrehel Abdulrahman Alqahtani Tariq Alqahtani Yousef Alharbi Md Samsuzzaman
2024, Volume 9, Issue 11: 31740-31769. doi: 10.3934/math.20241526
Abstract HTML PDF Cited (1) Viewed (1379)
Research article
Applications of soliton solutions of the two-dimensional nonlinear complex coupled Maccari equations
Mohammad Alqudah Manoj Singh
2024, Volume 9, Issue 11: 31636-31657. doi: 10.3934/math.20241521
Abstract HTML PDF Viewed (679)
Research article
Kink phenomena of the time-space fractional Oskolkov equation
M. Mossa Al-Sawalha Humaira Yasmin Ali M. Mahnashi
2024, Volume 9, Issue 11: 31163-31179. doi: 10.3934/math.20241502
Abstract HTML PDF Viewed (779)
Research article
Exact solutions to the fractional nonlinear phenomena in fluid dynamics via the Riccati-Bernoulli sub-ODE method
Waleed Hamali Abdulah A. Alghamdi
2024, Volume 9, Issue 11: 31142-31162. doi: 10.3934/math.20241501
Abstract HTML PDF Cited (1) Viewed (915)
Research article
Kink soliton solution of integrable Kairat-X equation via two integration algorithms
Raed Qahiti Naher Mohammed A. Alsafri Hamad Zogan Abdullah A. Faqihi
2024, Volume 9, Issue 11: 30153-30173. doi: 10.3934/math.20241456
Abstract HTML PDF Cited (3) Viewed (1350)
Research article
Dark and bright soliton phenomena of the generalized time-space fractional equation with gas bubbles
Musawa Yahya Almusawa Hassan Almusawa
2024, Volume 9, Issue 11: 30043-30058. doi: 10.3934/math.20241451
Abstract HTML PDF Viewed (671)
Research article
Innovative approaches of a time-fractional system of Boussinesq equations within a Mohand transform
Meshari Alesemi
2024, Volume 9, Issue 10: 29269-29295. doi: 10.3934/math.20241419
Abstract HTML PDF Viewed (789)
Research article
Dark and bright hump solitons in the realm of the quintic Benney-Lin equation governing a liquid film
Waleed Hamali Hamad Zogan Abdulhadi A. Altherwi
2024, Volume 9, Issue 10: 29167-29196. doi: 10.3934/math.20241414
Abstract HTML PDF Cited (1) Viewed (888)
Research article
An approximate analytical solution for groundwater variation in unconfined aquifers subject to variable boundary water levels and groundwater recharge
An-Ping Wang Ming-Chang Wu Ping-Cheng Hsieh
2024, Volume 9, Issue 10: 28722-28740. doi: 10.3934/math.20241393
Abstract HTML PDF Viewed (1152)
Research article
Optical fractals and Hump soliton structures in integrable Kuralay-Ⅱ system
Azzh Saad Alshehry Safyan Mukhtar Ali M. Mahnashi
2024, Volume 9, Issue 10: 28058-28078. doi: 10.3934/math.20241361
Abstract HTML PDF Viewed (970)
Research article
Input-to-state stability of nonlinear systems with delayed impulse based on event-triggered impulse control
Linni Li Jin-E Zhang
2024, Volume 9, Issue 10: 26446-26461. doi: 10.3934/math.20241287
Abstract HTML PDF Cited (1) Viewed (1063)
Research article
Generalized exponential stability of stochastic Hopfield neural networks with variable coefficients and infinite delay
Dehao Ruan Yao Lu
2024, Volume 9, Issue 8: 22910-22926. doi: 10.3934/math.20241114
Abstract HTML PDF Viewed (965)