Basic theory of fractional differential equations
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- Type
- article
- Published
- 2008-10-15
- Cited by
- 2,542
- References
- 10
- OpenAlex
- https://openalex.org/W2011301580
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:118616253
Keywords
Mathematics, Differential equation, Mathematical analysis, Fractional calculus, Differential (mechanical device)
References
- Fractional Integrals and Derivatives: Theory and Applications
- Generalized Fractional Calculus and Applications
- Analysis of Fractional Differential Equations
- Multi-order fractional differential equations and their numerical solution
- Relaxation in filled polymers: A fractional calculus approach
- A fractional calculus approach to self-similar protein dynamics.
- Linear Models of Dissipation whose Q is almost Frequency Independent-II
- Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Differential and Integral Inequalities
- On the Solution of Nonlinear Fractional-Order Differential Equations Used in the Modeling of Viscoplasticity
Cited by
- THEORY OF FRACTIONAL DIFFERENTIAL INEQUALITIES AND APPLICATIONS
- SOME BASIC RESULTS FOR FRACTIONAL FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS
- Monotone iterative technique for fractional differential equations with periodic boundary conditions
- MULTI-POINT BOUNDARY VALUE PROBLEMS OF FRACTIONAL ORDER
- Fractional kinetics under external forcing
- Controllability of semilinear neutral fractional functional evolution equations with infinite delay
- New Results for a Caputo Boundary Value Problem
- Comportamiento viscoelástico de sistemas poliméricos y el cálculo fraccional: Propiedades mecánicas, dieléctricas y magnéticas
- Existence and multiplicity for a system of fractional higher-order two-point boundary value problem
- L^p-Solutions of Fractional Differential Equations
- Investigation of positive solution to a coupled system of impulsive boundary value problems for nonlinear fractional order differential equations
- Approximate Controllability of Fractional Evolution Systems with Riemann-Liouville Fractional Derivatives
- An asymptotic perturbation solution for a linear oscillator of free damped vibrations in fractal medium described by local fractional derivatives
- Boundary Value Problems for Differential Equations with Fractional Order and Nonlinear Integral Conditions
- Ground states for nonlinear fractional Choquard equations with general nonlinearities
- Existence and controllability results for stochastic fractional evolution hemivariational inequalities
- Positive Solutions for a System of Fractional Differential Equations with Nonlocal Integral Boundary Conditions
- Existence results for boundary value problems of fractional functional differential equations with delay
- On the forced oscillation of certain fractional partial differential equations
- Analysis of nonlinear Hadamard fractional differential equations via properties of Mittag–Leffler functions
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