Results 31 to 40 of about 183,387 (282)
On the Consistency of the Solutions of the Space Fractional Schr\"odinger Equation [PDF]
, 2012 Recently it was pointed out that the solutions found in literature for the space fractional Schr\"odinger equation in a piecewise manner are wrong, except the case with the delta potential.
El-Sayed A. M. A. +5 more
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Tempered Fractional Integral Inequalities for Convex Functions
Mathematics, 2020 Certain new inequalities for convex functions by utilizing the tempered fractional integral are established in this paper. We also established some new results by employing the connections between the tempered fractional integral with the (R-L ...
Gauhar Rahman +2 more
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Two Integral Representations for the Relaxation Modulus of the Generalized Fractional Zener Model
Fractal and Fractional, 2023 A class of generalized fractional Zener-type viscoelastic models with general fractional derivatives is considered. Two integral representations are derived for the corresponding relaxation modulus. The first representation is established by applying the
Emilia Bazhlekova, Sergey Pshenichnov
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Fractional transformations of generalised functions [PDF]
, 2009 A distributional theory of fractional transformations is developed. A constructive approach, based on the eigenfunction expansion method pioneered by A. H.
Khan, Khaula Naeem +2 more
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On generalization conformable fractional integral inequalities
Filomat, 2018 The main issues addressed in this paper are making generalization of Gronwall, Volterra and Pachpatte type inequalities for conformable differential equations. By using the Katugampola definition for conformable calculus we found some upper and lower bound for integral inequalities.
Usta, Fuat, Sarıkaya, Mehmet Zeki
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Fractional Integrals and Generalized Olsen Inequalities
Kyungpook mathematical journal, 2009 Summary: Let \(T_\rho\) be the generalized fractional integral operator associated to a function \(\rho:(0,\infty)\to(0,\infty)\), as defined in [\textit{E. Nakai}, Taiwanese J. Math. 5, No.~3, 587--602 (2001; Zbl 0990.26007)]. For a function \(W\) on \(\mathbb R^n\), we be interested in the boundedness of the multiplication operator \(f\mapsto W\cdot ...
Hendra Gunawan, Eridani
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Quantum mechanics in fractional and other anomalous spacetimes [PDF]
, 2012 We formulate quantum mechanics in spacetimes with real-order fractional geometry and more general factorizable measures. In spacetimes where coordinates and momenta span the whole real line, Heisenberg's principle is proven and the wave-functions ...
Calcagni, Gianluca +2 more
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ON GENERAL EULERIAN INTEGRAL FORMULAS AND FRACTIONAL INTEGRATION
Tamkang Journal of Mathematics, 1999 In the present work, we evaluate a unified Eulerian type integral whose integrand involves the product of a polynomial system and the multivariable H-function having general arguments. Our integral formula encompasses a very large number of integrals and provides interesting unifieation and extensions of several known (e.g., [1 ...
Gupta, K. C. +2 more
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Generalizations of some fractional integral inequalities via generalized Mittag-Leffler function
Journal of Inequalities and Applications, 2017 Fractional inequalities are useful in establishing the uniqueness of solution for partial differential equations of fractional order. Also they provide upper and lower bounds for solutions of fractional boundary value problems.
Ghulam Abbas +3 more
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Exponents, symmetry groups and classification of operator fractional Brownian motions [PDF]
, 2011 Operator fractional Brownian motions (OFBMs) are zero mean, operator self-similar (o.s.s.), Gaussian processes with stationary increments. They generalize univariate fractional Brownian motions to the multivariate context.
Didier, Gustavo, Pipiras, Vladas
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