On Riemann-Liouville and Caputo derivatives.
Li, Changpin, Qian, Deliang, Chen, Yangquan (2011)
Discrete Dynamics in Nature and Society
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Displaying similar documents to “Large linear equation with left and right fractional derivatives in a finite interval”
On Riemann-Liouville and Caputo derivatives.
On fractional derivatives
Helena Musielak (1973)
Colloquium Mathematicae
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Fractional-order variational calculus with generalized boundary conditions.
Herzallah, Mohamed A.E., Baleanu, Dumitru (2011)
Advances in Difference Equations [electronic only]
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On a Differential Equation with Left and Right Fractional Derivatives
Atanackovic, Teodor, Stankovic, Bogoljub (2007)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 26A33; 70H03, 70H25, 70S05; 49S05 We treat the fractional order differential equation that contains the left and right Riemann-Liouville fractional derivatives. Such equations arise as the Euler-Lagrange equation in variational principles with fractional derivatives. We reduce the problem to a Fredholm integral equation and construct a solution in the space of continuous functions. Two competing approaches in formulating differential equations...
On a sum of fractional parts
B. Martić (1964)
Matematički Vesnik
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Note on the fractional parts of λθⁿ
Masayoshi Hata (2005)
Acta Arithmetica
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A Note On Fractional Integration
Branislav Martić (1973)
Publications de l'Institut Mathématique
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Fractional Derivatives in Spaces of Generalized Functions
Stojanović, Mirjana (2011)
Fractional Calculus and Applied Analysis
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MSC 2010: 26A33, 46Fxx, 58C05 Dedicated to 80-th birthday of Prof. Rudolf Gorenflo We generalize the two forms of the fractional derivatives (in Riemann-Liouville and Caputo sense) to spaces of generalized functions using appropriate techniques such as the multiplication of absolutely continuous function by the Heaviside function, and the analytical continuation. As an application, we give the two forms of the fractional derivatives of discontinuous functions in spaces of...
IVPs for singular multi-term fractional differential equations with multiple base points and applications
Yuji Liu, Pinghua Yang (2014)
Applicationes Mathematicae
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The purpose of this paper is to study global existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations. By constructing a special Banach space and employing fixed-point theorems, some sufficient conditions are obtained for the global existence and uniqueness of solutions of this kind of equations involving Caputo fractional derivatives and multiple base points. We apply the results to solve the forced logistic model with multi-term...