Reprint

Special Topics in Differential Equations with Applications

Edited by
July 2024
310 pages
  • ISBN978-3-7258-1648-4 (Hardback)
  • ISBN978-3-7258-1647-7 (PDF)
https://doi.org/10.3390/books978-3-7258-1647-7 (registering)

This book is a reprint of the Special Issue Special Topics in Differential Equations with Applications that was published in

Computer Science & Mathematics
Physical Sciences
Summary

In science and engineering, differential equations play an important role in all models and systems. This topic is very special due to the variety of classes for differential equations, and the fact that each class is essential while studying applied sciences and engineering. The main aim of this Special Issue is to create a collection of state-of-the-art research studies on Special Issues in differential equations with applications in science and engineering to provide researchers with the most recent advances in these topics, which are very important in modeling various scientific phenomena. This Special Issue, entitled “Special Topics in Differential Equations with Applications", has published important research articles in the field of differential equations, authored by several well-known mathematicians and scientists from diverse countries worldwide, such as the USA, Ireland, Italy, France, Slovakia, Greece, Austria, Romania, Bulgaria, Malaysia, Türkiye, Tunisia, Pakistan, India, China, Jordan, Sudan, Morocco, Egypt, Algeria, China, Russia, and Saudi Arabia.

Format
  • Hardback
License and Copyright
© 2024 by the authors; CC BY-NC-ND license
Keywords
hypergeometric equation; Koopman operators; EDMD; MRLW equation; soliton solutions; sinc-collocation method; Adomian decomposition method; semilinear hyperbolic systems; stability analysis; quasi-monotonicity; viscoanelastic media; derivative fractional; state variables; reologic coefficients; internal friction; differential evolution; Lax pairs; complexification of the Korteweg–de Vries equation; Korteweg–de Vries hierarchies; integrable partial differential equations; perturbations of the Korteweg–de Vries equation; stability by noise; exact solutions; ℱ-expansion method; beta-derivative; stochastic BBM; iterative class; elliptic equations; exterior domain; radial solutions; Banach space; complete metric space; fixed-point theorem; BAM neural networks; Mittag-Leffler-type stability; fractional differential equations; generalized proportional Riemann–Liouville fractional derivative; Hirota bilinear equation; Cole-Hopf transform; multi-wave complexiton solution; multi-wave solution; periodic lump solution; sub-equation method; BBM-Burger equation; modified auxiliary equation method (MAEM); Ricatti–Bernoulli (RB) sub-ODE method; β-derivative; M-truncated derivative (M-TD); conformable derivative (CD); soliton solutions; two-mode Caudrey–Dodd–Gibbon equation; Kudryashov method; exponential expansion method; dual-wave solutions; Riemann–Liouville fractional derivative; distributed delay; fundamental matrix; stability; generalized conformable derivative; Darboux problem; Ulam–Hyers–Rassias stability; Hilfer fractional derivatives; fractional diffusion systems; regional enlarged observability; Hilbert uniqueness method; neutral differential equation; asymptotic properties; odd-order; several delays; natural transform; fractional-order linear and nonlinear; approximate solution; inverse natural transform; oscillatory; non-oscillatory; neutral differential equation; fourth-order; oscillatory; nonoscillatory; delay differential equation; third-order; canonical; fractional Orlicz–Sobolev spaces; fractional Φ-Laplacian; critical point; ground state