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Special Topics in Differential Equations with Applications
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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.
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Keywords
- Adomian decomposition method
- approximate solution
- asymptotic properties
- BAM neural networks
- Banach space
- BBM-Burger equation
- beta-derivative
- canonical
- Cole-Hopf transform
- complete metric space
- complexification of the Korteweg–de Vries equation
- conformable derivative (CD)
- critical point
- Darboux problem
- delay differential equation
- derivative fractional
- differential evolution
- distributed delay
- dual-wave solutions
- EDMD
- elliptic equations
- exact solutions
- exponential expansion method
- exterior domain
- fixed-point theorem
- fourth-order
- fractional differential equations
- fractional diffusion systems
- fractional Orlicz–Sobolev spaces
- fractional Φ-Laplacian
- fractional-order linear and nonlinear
- fundamental matrix
- generalized conformable derivative
- generalized proportional Riemann–Liouville fractional derivative
- ground state
- Hilbert uniqueness method
- Hilfer fractional derivatives
- Hirota bilinear equation
- hypergeometric equation
- integrable partial differential equations
- internal friction
- inverse natural transform
- iterative class
- Koopman operators
- Korteweg–de Vries hierarchies
- Kudryashov method
- Lax pairs
- M-truncated derivative (M-TD)
- Mittag-Leffler-type stability
- modified auxiliary equation method (MAEM)
- MRLW equation
- multi-wave complexiton solution
- multi-wave solution
- natural transform
- neutral differential equation
- non-oscillatory
- nonoscillatory
- odd-order
- oscillatory
- periodic lump solution
- perturbations of the Korteweg–de Vries equation
- quasi-monotonicity
- radial solutions
- regional enlarged observability
- reologic coefficients
- Ricatti–Bernoulli (RB) sub-ODE method
- Riemann–Liouville fractional derivative
- semilinear hyperbolic systems
- several delays
- sinc-collocation method
- soliton solutions
- Stability
- stability analysis
- stability by noise
- state variables
- stochastic BBM
- sub-equation method
- thema EDItEUR::U Computing and Information Technology::UY Computer science
- third-order
- two-mode Caudrey–Dodd–Gibbon equation
- Ulam–Hyers–Rassias stability
- viscoanelastic media
- β-derivative
- ℱ-expansion method
Links
DOI: 10.3390/books978-3-7258-1647-7Editions