Existence and Uniqueness Results for Fractional Differential Equations With Uncertainty
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Date
2012
Journal Title
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Publisher
Springer
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GOLD
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Abstract
In this paper, we study the existence, uniqueness and approximate solutions of fuzzy fractional differential equations (FFDEs) under Caputo's H-differentiability. To this end, the concept of Riemann-Liouville's H-differentiability is introduced, and subsequently, the Caputo's H-differentiability is proposed. Moreover, the related fuzzy Volterra integral forms of FFDEs are obtained which are applied to construct two converge consequences of fuzzy-valued functions as approximated solutions of FFDEs.
Description
Salahshour, Soheil/0000-0003-1390-3551; Allahviranloo, Tofigh/0000-0002-6673-3560
Keywords
Fuzzy Fractional Differential Equations (Ffdes), Riemann-Liouville'S H-Differentiability, Caputo'S H-Differentiability, Statistics and Probability, Fractional Differential Equations, Fuzzy Differential Equations and Uncertainty Modeling, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Differential equation, Differentiable function, FOS: Mathematics, Functional Differential Equations, Anomalous Diffusion Modeling and Analysis, Algebra and Number Theory, Applied Mathematics, Fractional calculus, Partial differential equation, Linguistics, Applied mathematics, FOS: Philosophy, ethics and religion, Fuzzy Differential Equations, Fuzzy logic, Fractional Derivatives, Philosophy, Modeling and Simulation, Physical Sciences, FOS: Languages and literature, Uniqueness, Analysis, Mathematics, Ordinary differential equation, Fuzzy ordinary differential equations, fuzzy fractional differential equations (FFDEs), Fractional ordinary differential equations, Riemann-Liouville's H-differentiability, Caputo's H-differentiability
Fields of Science
02 engineering and technology, 0202 electrical engineering, electronic engineering, information engineering
Citation
Salahshour, S...et al. (2012). "Existence and uniqueness results for fractional differential equations with uncertainty", Advances In Difference Equations.
WoS Q
Q1
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OpenCitations Citation Count
94
Source
Advances in Difference Equations
Volume
2012
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