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Advances in Fractional Differential Operators and Their Applications

The application of generalized and fractional derivatives, such as Caputo and Riemann-Liouville derivatives, has witnessed a dramatic increase in recent years. This reprint focuses on related theoretical and applied research in areas such as the stability of time series, Lotka-Volterra systems, dist...

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Bibliographic Details
Main Author: Mingarelli, Angelo B.
Other Authors: Zivlaei, Leila Gholizadeh, Dehghan, Mohammad
Format: eBook
Language:English
Published: Basel MDPI - Multidisciplinary Digital Publishing Institute 2023
Subjects:
Residual Power Series
Variational Iteration Method
Cahn-hilliard Equation
Model Stability
Model Perturbation Analysis
Multiplicity Of Solutions
Lotka-volterra System
Distributed Delay
Fractional Sturm-liouville
Eigenvalues
Fractional Laplacian
Fractional Wave Equation
Euler-lagrange Theorem
Fractional Differential Equations
Variable Exponents
Ml-kernel
Fractional Quasi-linear Viscoelasticity
Fractional Diffusion Equation
Fractional Piecewise Order Derivative
Variable Kernel
Mittag-leffler Function
χ-hilfer Fractional Derivative
Riemann-liouville Derivatives
Saxena Function
Sequence Operator
Fox Functions
Partial Differential Equation
Mountain Pass Theorem
Caputo's Derivatives
Research & Information: General / Bicssc
Aleph Functions
Von Neumann Stability
Stability
Hyper-bessel
Cubic Polynomial Spline
Variational Methods
P-derivative
Evolution Equations
Laplace Transform
Fractional-order Nonlinear System
κ(x)-laplacian
Existence Of Solutions
Leader-following Consensus
Caputo Sense
Fractional Calculus
Fourier Method
Abel-lidskii Basis Property
Input Delay
Multi-order Fractional Differential Equation
Mellin-barnes Integrals
Existence
Sinc Methods
Homotopy Analysis Method
Mathematics & Science / Bicssc
Existence Of Solution
Fractional Fornberg-whitham Equation
Memory
Fractional Differential Equation
Adomian Decomposition Method
Power-law Visco-elasto-plasticity
Time Series
Operational Matrix
Asymptotics
Fractional Boundary Value Problem
Stability Results
Caputo Derivative
Instability
Fractional Partial Differential Equations
Definite Integrals
Fractional Riccati Differential Equation
Schatten-von Neumann Class
Concentration-compactness Principle
Taylor Polynomials
Two Dimensional Volterra Integral Equation
Razumikhin Approach
Approximate Solution
Numerical Simulation
Genus Theory
Fractional-order Operator
Block Pulse
Time-fractional Integration
Homotopy Perturbation Method
Cantilever Beam
Gradient Nonlinearity
Existence And Uniqueness Of Minimizers
Operator Function
Fractional Langevin Equation
Space-fractional Fisher's Equation
Determination Of The Order Of Derivative
Inverse Problem
Uh-type Stability
Boundedness
Sinc Quadrature
Online Access:
Collection: Directory of Open Access Books - Collection details see MPG.ReNa
Description
Summary:The application of generalized and fractional derivatives, such as Caputo and Riemann-Liouville derivatives, has witnessed a dramatic increase in recent years. This reprint focuses on related theoretical and applied research in areas such as the stability of time series, Lotka-Volterra systems, distributed delays, Fornberg-Whitham equations, abstract evolution and fractional wave equations, cantilever beams, and fractional Riccati and Volterra equations, as well as fractional visco-elasto-plasticity, spectral theory for fractional Sturm-Liouville problems, generalized differential equations, Mittag-Leffler functions, and fractional Laplacians.
Item Description:Creative Commons (cc), https://creativecommons.org/licenses/by/4.0/
Physical Description:1 electronic resource (374 p.)
ISBN:9783036589053
books978-3-0365-8905-3
9783036589046

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