Results 1 to 10 of about 408 (69)
On the generalized fractional integrals of the generalized Mittag-Leffler function. [PDF]
Springerplus, 2014 In this paper, we employ the generalized fractional calculus operators on the generalized Mittag-Leffler function. Some results associated with generalized Wright function are obtained. Recent results of Chaurasia and Pandey are obtained as special cases.
Ahmed S.
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On some properties of the generalized Mittag-Leffler function. [PDF]
Springerplus, 2013 This paper deals with the study of a generalized function of Mittag-Leffler type. Various properties including usual differentiation and integration, Euler(Beta) transforms, Laplace transforms, Whittaker transforms, generalized hypergeometric series form
Khan MA, Ahmed S.
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ON FRAMES AND CONE ADAPTED IRREGULAR SHEARLET COEFFICIENTS
International Journal of Apllied Mathematics, 2021 In this paper we study the action of double infinite regular matrix D on horizontal cone-adapted irregular shearlet coefficients. Also, we find the frame bounds by D-transform of function whose shearlet series expansion is known.
D. Kumar
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Solutions for nonhomogeneous fractional (p, q)-Laplacian systems with critical nonlinearities
Advances in Nonlinear Analysis, 2022 In this article, we aimed to study a class of nonhomogeneous fractional (p, q)-Laplacian systems with critical nonlinearities as well as critical Hardy nonlinearities in RN{{\mathbb{R}}}^{N}.
Tao Mengfei, Zhang Binlin
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Nonlocal elliptic equations in bounded domains: a survey [PDF]
, 2015 In this paper we survey some results on the Dirichlet problem ( Lu = f in u = g in R n n for nonlocal operators of the form Lu(x) = PV Z Rn u(x) u(x + y) K(y)dy: We start from the very basics, proving existence of solutions, maximum principles, and ...
Xavier Ros-Oton
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Uniqueness of stable processes with drift [PDF]
, 2013 Suppose that d ≥ 1 and α ∈ (1, 2). Let Y be a rotationally symmetric α-stable process on R d and b a R-valued measurable function on R belonging to a certain Kato class of Y .
Zhen-Qing Chen, Longmin Wang
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The stability of nonlinear delay integro-differential equations in the sense of Hyers-Ulam
Nonautonomous Dynamical Systems, 2023 In this study, an initial-value problem for a nonlinear Volterra functional integro-differential equation on a finite interval was considered. The nonlinear term in the equation contains multiple time delays.
Graef John R. +3 more
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On the critical fractional Schrödinger-Kirchhoff-Poisson equations with electromagnetic fields
Open Mathematics, 2022 This paper intend to study the following critical fractional Schrödinger-Kirchhoff-Poisson equations with electromagnetic fields in R3{{\mathbb{R}}}^{3}: ε2sM([u]s,A2)(−Δ)Asu+V(x)u+(∣x∣2t−3∗∣u∣2)u=f(x,∣u∣2)u+∣u∣2s∗−2u,x∈R3.{\varepsilon }^{2s}{\mathfrak{M}
Zhang Zhongyi
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Advances in Differential Equations, 2013 In this study, we consider the interval-valued integro-differential equations (IIDEs) under generalized H-differentiability DHgX(t)=F(t,X(t))+∫t0tG(t,s,X(s))ds,X(t0)=X0∈KC(R).
Vinh An Truong, V. Ngo, Dinh Phu Nguyen
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Interval-valued functional differential equations under dissipative conditions
Advances in Differential Equations, 2014 A new concept of inner product on the space of compact convex subsets of ℝ is introduced. Using this inner product we investigate the global existence and uniqueness of the solution of interval-valued functional differential equations.
N. Phu, Truong Vinh An, N. Hoa, N. Hien
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