Results 101 to 110 of about 2,960 (186)
Certain Properties of Fractional Calculus Operators Associated with Generalized Mittag-Leffler Function [PDF]
, 2005 Mathematics Subject Classification: 26A33, 33E12, 33C20.It has been shown that the fractional integration and differentiation operators transform such functions with power multipliers into the functions of the same form. Some of the results given earlier
Saigo, Megumi, Saxena, R. K.
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Towards a combined fractional mechanics and quantization
, 2012 A fractional Hamiltonian formalism is introduced for the recent combined fractional calculus of variations. The Hamilton-Jacobi partial differential equation is generalized to be applicable for systems containing combined Caputo fractional derivatives ...
Malinowska, Agnieszka B. +1 more
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, 2016 In this paper, we investigate some new Pólya-Szegö type integral inequalities involving the Riemann-Liouville fractional integral operator, and use them to prove some fractional integral inequalities of Chebyshev type, concerning the integral of the ...
S. Ntouyas, P. Agarwal, J. Tariboon
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Leitmann's direct method for fractional optimization problems
, 2010 Based on a method introduced by Leitmann [Internat. J. Non-Linear Mech. {\bf 2} (1967), 55--59], we exhibit exact solutions for some fractional optimization problems of the calculus of variations and optimal control.Comment: Submitted June 16, 2009 and ...
Agrawal +26 more
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Using Shehu integral transform to solve fractional order Caputo type initial value problems
Journal of Applied Mathematics and Computational Mechanics, 2019 In the present research analysis, linear fractional order ordinary differential equations with some defined condition (s) have been solved under the Caputo differential operator having order α > 0 via the Shehu integral transform technique.
S. Qureshi, Prem Kumar
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Multivariate Caputo left fractional Landau inequalities
Moroccan Journal of Pure and Applied Analysis, 2020 Relied on author’s first ever found multivariate Caputo fractional Taylor’s formula (2009, [1], Chapter 13), we develop and prove several multivariate left side Caputo fractional uniform Landau type inequalities.
Anastassiou George A.
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Solvability of an Infinite System of Singular Integral Equations [PDF]
, 2007 2000 Mathematics Subject Classification: 45G15, 26A33, 32A55, 46E15.Schauder's fixed point theorem is used to establish an existence result for an infinite system of singular integral equations in the form: (1) xi(t) = ai(t)+ ∫t0 (t − s)− α (s, x1(s), x2(
Abbas, Mohamed I., El Borai, Mahmoud M.
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On some new Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals
, 2013 In this paper, three fundamental and important Riemann-Liouville fractional integral identities including a twice differentiable mapping are established. Secondly, some interesting Hermite-Hadamard type inequalities involving Riemann-Liouville fractional
Yuruo Zhang, Jinrong Wang
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Demonstratio MathematicaThis study innovates a novel technique of the nonlinear fractional Langevin equation of Hilfer-Hadamard type, incorporating an initial condition. The research demonstrates that this problem can be reformulated as an integral equation featuring a Mittag ...
Wang Huiwen, Li Fang
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Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients. [PDF]
Bound Value Probl, 2023 Li C.
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