Results 31 to 40 of about 24,283 (189)

Liouville theorems for Dirac-harmonic maps [PDF]

open access: yesJournal of Mathematical Physics, 2007
We prove Liouville theorems for Dirac-harmonic maps from the Euclidean space Rn, the hyperbolic space Hn, and a Riemannian manifold Sn (n⩾3) with the Schwarzschild metric to any Riemannian manifold N.
Chen, Qun, Jost, Jürgen, Wang, Guofang
openaire   +2 more sources

Liouville theorem for Pseudoharmonic maps from Sasakian manifolds

open access: yes, 2013
In this paper, we derive a sub-gradient estimate for pseudoharmonic maps from noncompact complete Sasakian manifolds which satisfy CR sub-Laplace comparison property, to simply-connected Riemannian manifolds with nonpositive sectional curvature.
Chong, Tian, Ren, Yibin, Yang, Guilin
core   +1 more source

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar   +3 more
wiley   +1 more source

Uniqueness Theorems for Sturm-Liouville Operator with Parameter Dependent Boundary Conditions and Finite Number Of Transmission Conditions

open access: yesCumhuriyet Science Journal, 2017
In this paper, we prove some uniqueness theorems forthe solution of inverse spectral problems of Sturm–Liouville operators withboundary conditions depending linearly on the spectral parameter and with afinite number of transmission conditions.
Yaşar Çakmak, Baki Keskin
doaj   +1 more source

Nabla Fractional Derivative and Fractional Integral on Time Scales

open access: yesAxioms, 2021
In this paper, we introduce the nabla fractional derivative and fractional integral on time scales in the Riemann–Liouville sense. We also introduce the nabla fractional derivative in Grünwald–Letnikov sense.
Bikash Gogoi   +4 more
doaj   +1 more source

Sampling Theorems for Sturm Liouville Problem with Moving Discontinuity Points

open access: yes, 2014
In this paper, we investigate the sampling analysis for a new Sturm-Liouville problem with symmetrically located discontinuities which are defined to depending on a neighborhood of a midpoint of the interval.
Altinisik, Nihat, Hira, Fatma
core   +1 more source

Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.
ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
wiley   +1 more source

On Hybrid Type Nonlinear Fractional Integrodifferential Equations

open access: yesMathematics, 2020
In this paper, we introduce and investigate a hybrid type of nonlinear Riemann Liouville fractional integro-differential equations. We develop and extend previous work on such non-fractional equations, using operator theoretical techniques, and find the ...
Faten H. Damag   +2 more
doaj   +1 more source

SOME REMARKS ON LIOUVILLE TYPE THEOREMS [PDF]

open access: yesRecent Advances in Nonlinear Analysis, 2008
The goal of this note is to present elementary proofs of statements related to the Liouville theorem.
Brezis, H, Chipot, M, Xie, Y
openaire   +2 more sources

Fractional Vector Calculus and Fractional Maxwell's Equations

open access: yes, 2011
The theory of derivatives and integrals of non-integer order goes back to Leibniz, Liouville, Grunwald, Letnikov and Riemann. The history of fractional vector calculus (FVC) has only 10 years. The main approaches to formulate a FVC, which are used in the
Belleguie   +55 more
core   +1 more source

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