Results 81 to 90 of about 596 (184)

Stochastic Solution of a KPP-Type Nonlinear Fractional Differential Equation [PDF]

, 2009
Mathematics Subject Classification: 26A33, 76M35, 82B31A stochastic solution is constructed for a fractional generalization of the KPP (Kolmogorov, Petrovskii, Piskunov) equation. The solution uses a fractional generalization of the branching exponential
Ouerdiane, H., Vilela Mendes, R., Cipriano, F.   +2 more
core  

lnfinitely many solutions for fractional Schrödinger equations with perturbation via variational methods

Open Mathematics, 2017
Using variational methods, we investigate the solutions of a class of fractional Schrödinger equations with perturbation. The existence criteria of infinitely many solutions are established by symmetric mountain pass theorem, which extend the results in ...
Li Peiluan, Shang Youlin
doaj   +1 more source

© 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
core  

On parameterized inequalities for fractional multiplicative integrals

Demonstratio Mathematica
In this article, we present a one-parameter fractional multiplicative integral identity and use it to derive a set of inequalities for multiplicatively ss-convex mappings.
Zhu Wen Sheng, Meftah Badreddine, Xu Hongyan, Jarad Fahd, Lakhdari Abdelghani   +4 more
doaj   +1 more source

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., Anh, Vo V., McVinish, Ross S., Anh, V. V.   +3 more
core  

Ostrowski type inequalities for functions whose derivatives are strongly (α, m)-convex via k-Riemann-Liouville fractional integrals [PDF]

, 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
core   +1 more source

New local fractional Hermite-Hadamard-type and Ostrowski-type inequalities with generalized Mittag-Leffler kernel for generalized h-preinvex functions

Demonstratio Mathematica
In this study, based on two new local fractional integral operators involving generalized Mittag-Leffler kernel, Hermite-Hadamard inequality about these two integral operators for generalized hh-preinvex functions is obtained.
Sun Wenbing, Wan Haiyang
doaj   +1 more source

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
core  

Fractional derivatives of Colombeau generalized stochastic processes defined on R+

, 2011
We consider Caputo and Riemann-Liouville fractional derivatives of a Colombeau generalized stochastic process G defined on R+. We give proper definitions and prove that both are Colombeau generalized stochastic processes themselves.
Danijela Rajter-Ciric
core   +1 more source

Nonlocal heat equations with generalized fractional Laplacian

Advances in Nonlinear Analysis
We study heat equations with generalized fractional Laplacian, which is defined by the spectral theory. Here we develop the existence theory for those equations. Also, we present some numerical simulations for our problems.
Kossowski Igor, Przeradzki Bogdan
doaj   +1 more source