Results 61 to 70 of about 381 (137)
© Hindawi Publishing Corp. ASYMPTOTICS OF INTEGRODIFFERENTIAL MODELS WITH INTEGRABLE KERNELS II
, 2002 Nonlinear singularly perturbed Volterra integrodifferential equations with weakly singular kernels are investigated using singular perturbation methods, the Mellin transform technique, and the theory of fractional integration.
Angelina M. Bijura
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Existence and uniqueness of the solution of fractional damped dynamical systems [PDF]
, 2017 In this paper, we consider the existence and uniqueness of the solution of fractional damped dynamical systems. First, we obtain the spreading form of the Gronwall inequality.
Sheng, Jiale +3 more
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, 2018 In this paper we are interested to present some general fractional integral inequalities for m-convex functions by involving generalized Mittag-Leffler function. In particular we produce inequalities for several kinds of fractional integrals.
Ghulam Abbas +3 more
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On Hadamard-type inequalities for m-convex functions via Riemann-Liouville fractional integrals [PDF]
, 2017 In this paper we prove the Hadamard-type inequalities for m-convex functions via Riemann-Liouville fractional integrals and the Hadamard-type in- equalities for convex functions via Riemann-Liouville fractional integral are deduced.
FARID, Ghulam +2 more
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, 2007 A fractional differential operator of order α ∈ R+ is introduced and some of its properties are studied. This operator is a generalization of the operators of Riesz-Feller, of Riemann-Liouville, of the fractional power of the Laplacian and of a class of ...
Debbi, Latifa
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Impulsive Partial Hyperbolic Functional Differential Equations of Fractional Order with State-Dependent Delay [PDF]
, 2010 MSC 2010: 26A33, 34A37, 34K37, 34K40, 35R11This paper deals with the existence and uniqueness of solutions of two classes of partial impulsive hyperbolic differential equations with fixed time impulses and state-dependent delay involving the Caputo ...
Abbas, Saïd, Benchohra, Mouffak
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Integral Transforms Method to Solve a Time-Space Fractional Diffusion Equation [PDF]
, 2010 Mathematical Subject Classification 2010: 35R11, 42A38, 26A33, 33E12.The method of integral transforms based on using a fractional generalization of the Fourier transform and the classical Laplace transform is applied for solving Cauchy-type problem for ...
Nikolova, Yanka, Boyadjiev, Lyubomir
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, 2019 In this paper, we provide some Ostrowski type integral inequalities for functions whose derivatives in absolute value at some powers are strongly (α, m)- convex with modulus µ ≥ 0 via the k-Riemann-Liouville fractional integrals.
KERMAUSUOR, Seth
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Completely monotone property of fractional Green functions [PDF]
, 2003 In this paper it is proved that the Green function of a linear fractional dierential equation is completely monotone. Further results on the behaviour of the Green function are obtained by exploring their connection with the Mittag-Leer distribution ...
McVinish, R. +3 more
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A Poster about the Old History of Fractional Calculus [PDF]
, 2010 MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22The fractional calculus (FC) is an area of intensive research and development. In a previous paper and poster we tried to exhibit its recent state, surveying the period of 1966-2010.
J. T. MACHADO +5 more
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