Infinitely Many Homoclinic Orbits for 2nth-Order Nonlinear Functional Difference Equations Involving the p-Laplacian by Xiaofei He

“…By establishing a new proper variational framework and using the critical point theory, we establish some new existence criteria to guarantee that the 2nth-order nonlinear difference equation containing both advance and retardation with p-Laplacian Δn(r(t−n)φp(Δnu(t−1)))+q(t)φp(u(t))=f(t,u(t+n),…,u(t),…,u(t−n)), n∈ℤ(3), t∈ℤ, has infinitely many homoclinic orbits, where φp(s) is p-Laplacian operator; φp(s)=|s|p−2s(1<p<∞)r, q, f are nonperiodic in t. …”
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Advanced numerical simulations of lid-driven cavity flows using an optimized parallelized fractional step method by Muhammad Abid, Tayyaba Akhtar, Mohamed M. Awad, Muhammad Imran

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Stability of Perturbed Set Differential Equations Involving Causal Operators in Regard to Their Unperturbed Ones considering Difference in Initial Conditions by Coșkun Yakar, Hazm Talab

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Exact Solutions of the Space Time Fractional Symmetric Regularized Long Wave Equation Using Different Methods by Özkan Güner, Dursun Eser

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Breather and solitonic behavior of parametric Sine–Gordon equation with phase-shift and driven term by Taj Munir, Muhammad Zaman, Can Kang, Hussan Zeb, Alrazi Abdeljabbar, Mohammed Daher Albalwi

“…Numerically, the explicit finite difference scheme and the fourth-order Runge–Kutta finite difference method are implemented. …”
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Advanced Fractional Mathematics, Fractional Calculus, Algorithms and Artificial Intelligence with Applications in Complex Chaotic Systems by Dumitru Baleanu, Yeliz Karaca

“…Thus, fields with a broad range of spectrum range from mathematics, physics, biology, fluid mechanics, medicine, engineering, image analysis, based on differing perspectives in our special issue which presents a compilation of recent research elaborating on the related advances in foundations, theory, methodology and topic-based implementations regarding fractals, fractal methodology, fractal spline, non-differentiable fractal functions, fractional calculus, fractional mathematics, fractional differential equations, differential equations (PDEs, ODEs), chaos, bifurcation, Lie symmetry, stability, sensitivity, deep learning approaches, machine learning, and so forth through advanced fractional mathematics, fractional calculus, data intensive schemes, algorithms and machine learning applications surrounding complex chaotic systems.…”
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3D Chaotic Nonlinear Dynamic Population-Growing Mathematical System Modeling with Multiple Controllers by Shaymaa Hussain, Suzan Obaıys, Nadia Al-saidi, Yeliz Karaca

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Equations and inequalities for secondary school students by Petrė-Valda Grebeničenkaitė

“… In this article different solution methods of equations and inequalities are reviewed. …”
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Review of Lagrangian formalism in biology: recent advances and perspectives by Diana T. Pham, Zdzislaw E. Musielak

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The Quantum Effect on Friedmann Equation in FRW Universe by Wei Zhang, Xiao-Mei Kuang

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CombinatorixPy: Advancing mixture descriptors for computational chemistry by Rahil Ashtari Mahini, Gerardo Casanola-Martin, Stephen Szwiec, Simone A. Ludwig, Bakhtiyor Rasulev

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Methodological advances in seismic noise imaging of the Alpine area by Paul, Anne, Pedersen, Helle A., Bodin, Thomas, Kästle, Emanuel, Soergel, Dorian, Alder, Chloé, Lu, Yang, Nouibat, Ahmed

“…Methodological advances in seismic tomography are often driven by the quality of data sets. …”
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Chebyshev Collocation Method for Parabolic Partial Integrodifferential Equations by M. Sameeh, A. Elsaid

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CIP Method of Characteristics for the Solution of Tide Wave Equations by Yafei Nie, Kai Fu, Xianqing Lv

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Advances and Challenges in Thermoacoustic Network Modeling for Hydrogen and Ammonia Combustors by Seungmin Guk, Jaehoon Lee, Juwon Kim, Minwoo Lee

“…We outline the key mathematical frameworks derived from fundamental equations of motion, along with experimental validations and practical applications documented in existing studies. …”
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Iteration Methods with an Auxiliary Function for Nonlinear Equations by Faisal Ali, Waqas Aslam, Imran Khalid, Akbar Nadeem

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Solitary Wave Solutions to the Multidimensional Landau–Lifshitz Equation by Ahmad Neirameh

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Adaptive Numerical Method for Approximation of Traffic Flow Equations by Neda Najafzadeh, Saeid Abbasbandy, Elyas Shivanian

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Numerical Method to Modify the Fractional-Order Diffusion Equation by Yunkun Chen

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An Improved Finite Difference Type Numerical Method for Structural Dynamic Analysis by Sung-Hoon Kim, Youn-sik Park

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