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Advances in Differential and Difference Equations with Applications 2020
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It is very well known that differential equations are related with the rise of physical science in the last several decades and they are used successfully for models of real-world problems in a variety of fields from several disciplines. Additionally, difference equations represent the discrete analogues of differential equations. These types of equations started to be used intensively during the last several years for their multiple applications, particularly in complex chaotic behavior. A certain class of differential and related difference equations is represented by their respective fractional forms, which have been utilized to better describe non-local phenomena appearing in all branches of science and engineering. The purpose of this book is to present some common results given by mathematicians together with physicists, engineers, as well as other scientists, for whom differential and difference equations are valuable research tools. The reported results can be used by researchers and academics working in both pure and applied differential equations.
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Keywords
- absolute errors
- application to simulated data
- approximate controllability
- Arrhenius activation energy
- backward difference formula
- binary chemical reaction
- Caputo fractional derivative
- carbon nanotubes
- central finite difference approximations
- Classification
- complex zeros
- cubic B-spline
- Darbo fixed point
- Darcy–Forchheimer flow
- degenerate evolution equation
- degenerate Hermite polynomials
- Differential equations
- double-parametric form
- dynamic equations
- estimation in diffusion process
- exact controllability
- existence
- exponential stability
- finite differences
- Fractional calculus
- fractional Caputo derivative
- fractional derivative
- fractional differential equations
- fractional diffusion-wave equation
- fractional dynamical model of marriage
- fractional symmetric Hahn difference operator
- fractional symmetric Hahn integral
- fractional Taylor vector
- FRDTM
- Green function
- Hilbert space
- ill-posed problem
- kerosene oil-based fluid
- Kuratowski measure of noncompactness
- linear control system
- linear differential equation
- linear output feedback
- Mathematics & science
- mild solution
- mixed neutral differential equations
- multi-stage method
- multi-step method
- n-th order linear differential equation
- Nanoparticles
- necessary and sufficient conditions
- non-instantaneous impulses
- non-linear differential equation
- nonlocal effects
- numerical solution
- Numerical solutions
- oscillation
- powers of stochastic Gompertz diffusion models
- powers of stochastic lognormal diffusion models
- Reference, information & interdisciplinary subjects
- Research & information: general
- Riemann-Liouville fractional integral
- rotating disk
- Runge–Kutta method
- second order differential equations
- sectorial operator
- stabilization
- stagnation point
- state feedback control
- stationary distribution and ergodicity
- stiff system
- symmetric identities
- thermal radiation
- third order
- Tikhonov regularization method
- time scales
- trend function
- triangular fuzzy number
- two-dimensional wavelets
- two-point boundary value problem
- uncertain system
- upper Bohl exponent
- variable thicker surface
Links
DOI: 10.3390/books978-3-03936-871-6Editions