The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type

Keywords

Mathematics, Fractional calculus, Differential equation, Uniqueness, Mathematical analysis

References

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• Stability and Liapunov Functionals for Fractional Differential EquationsBo Zhang — 2012
• Multi-time Scales Stochastic Dynamic Processes: Modeling, Methods, Algorithms, Analysis, and ApplicationsJean-Claude Pedjeu — 2012
• Fractional diffusion model for transport through porous mediaIftikhar Ali, Nadeen Malik, B. Chanane — 2014
• Existence and Uniqueness results for a class of Generalized Fractional Differential EquationsUdita N. Katugampola — 2014
• The Convergence of Economic DevelopmentsMichèle Caputo — 2012
• Recent advances in applied nonlinear dynamics with numerical analysis : fractional dynamics, network dynamics, classical dynamics and fractal dynamics with their numerical simulationsChangpin Li, Yujiang Wu, Ruisong Ye — 2013
• Existence and uniqueness of solutions for random fuzzy fractional integral and differential equationsVasile Lupulescu, Le Si Dong, Ngo Van Hoa — 2015
• The Müntz-Legendre Tau method for fractional differential equationsP. Mokhtary, F. Ghoreishi, H. M. Srivastava — 2016
• Derivada fracionária e as funções de Mittag-LefflerD. Oliveira — 2014
• Cálculo fracionário e as funções de Mittag-LefflerG. Teodoro — 2014
• On fractional extensions of Barbalat LemmaJavier A. Gallegos, Manuel A. Duarte‐Mermoud, Norelys Aguila‐Camacho — 2015
• Mild solution of fractional order differential equations with not instantaneous impulsesPei-Luan Li, Changjin Xu — 2015
• Spectral expansions of non-self-adjoint generalized Laguerre semigroupsPierre Patie, Mladen Savov — 2015
• Stability and convergence of an implicit numerical method for the space and time fractional Bloch–Torrey equationQiang Yu, Fawang Liu, Ian Turner — 2013
• Implicit Fractional Differential Equations via the Liouville-Caputo DerivativeJuan J. Nieto, Abelghani Ouahab, Venktesh Venktesh — 2015
• Admissible frequency domain response functions of dielectricsMichèle Caputo, Mauro Fabrizio — 2015
• Variational iteration method for solving the time-fractional diffusion equations in porous medium吴国成 — 2012
• Multi-point boundary value problems for a coupled system of nonlinear fractional differential equationsChengbo Zhaı, Mengru Hao — 2015
• On the Asymptotic Behavior of Positive Solutions of Certain Fractional Differential EquationsSaid R. Grace — 2015
• A class of fractional optimal control problems and fractional Pontryagin's systems. Existence of a fractional Noether's theoremLoïc Bourdin — 2012

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