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Local Existence Theorem of Fractional Differential Equations in Lp Space [PDF]

open access: goldAl-Rafidain Journal of Computer Sciences and Mathematics, 2012
We proved the existence of P-integrable solution in -space, where  for the  fractional differential equation which has the form:                     with boundary condition              where is the Caputo fractional derivative,  and c are positive ...
Joseph Abdulahad, Shayma Murad
doaj   +2 more sources

The quotient shapes of lp and Lp spaces

open access: diamondRad Hrvatske akademije znanosti i umjetnosti Matematičke znanosti, 2018
All lp spaces (over the same field), p ≠ ∞, have the finite quotient shape type of the Hilbert space l2. It is also the finite quotient shape type of all the subspaces lp(p'), p < p' ≤ ∞, as well as of all their direct sum subspaces F0N(p'), 1 ≤ p' ≤ ∞. Furthermore, their countable and finite quotient shape types coincide.
Nikica Uglešić
openaire   +3 more sources

Properties of Functions on a Bounded Charge Space

open access: yesAnalysis and Geometry in Metric Spaces, 2022
A charge space (X, 𝒜, µ) is a generalisation of a measure space, consisting of a sample space X, a field of subsets 𝒜 and a finitely additive measure µ, also known as a charge.
Keith Jonathan M.
doaj   +1 more source

An Extension of a Variational Inequality in the Simader Theorem to a Variable Exponent Sobolev Space and Applications: The Dirichlet Case

open access: yesInternational Journal of Analysis and Applications, 2022
In this paper, we shall extend a fundamental variational inequality which is developed by Simader in W1,p to a variable exponent Sobolev space W1,p(·).
Junichi Aramaki
doaj   +1 more source

Luminal Preservation Protects the Small Intestine in a Brain-dead Rat Model

open access: yesTransplantation Direct, 2022
Background. Intestinal transplantation depends on donation after brain death (DBD). Luminal preservation (LP) has been beneficial against preservation injury in previous studies in animal models, but none include DBD.
Guido Trentadue, MD, PhD   +8 more
doaj   +1 more source

Existence Solution of Volterra Hammerstein Equation in L^p Space [PDF]

open access: yesKirkuk Journal of Science, 2019
In this paper we use the fixed-point theorem of Latrach, Taoudi and Zeghal under some conditions to find a solution for Volterra_Hammerstein integral equation in the Banach space L^p ([0,m],R). We use this fixed point theorem with new assumptions.
Mahmood Shihab
doaj   +1 more source

Assessing Radish Health during Space Cultivation by Gene Transcription

open access: yesPlants, 2023
During the Advanced Plant Habitat experiment 2, radish plants were grown in two successive grow-outs on the International Space Station (ISS) for 27 days each. On days 10, 18, and 24, leaf punch (LP) samples were collected and frozen.
Karl H. Hasenstein   +2 more
doaj   +1 more source

Generalization of the space l(p) $l(p)$ derived by absolute Euler summability and matrix operators

open access: yesJournal of Inequalities and Applications, 2018
The sequence space l(p) $l(p)$ having an important role in summability theory was defined and studied by Maddox (Q. J. Math. 18:345–355, 1967). In the present paper, we generalize the space l(p) $l(p)$ to the space |Eϕr|(p) $\vert E_{\phi }^{r} \vert (p)$
Fadime Gökçe, Mehmet Ali Sarıgöl
doaj   +1 more source

Severe C8 or T1 Symptoms after Cervical Laminoplasty and Related Factors: Are There Any Differences between C3–C6 Laminoplasty and C3–C7 Laminoplasty? [PDF]

open access: yesAsian Spine Journal, 2019
Study Design Retrospective study. Purpose We experienced the situation wherein some patients had new-onset pain or dysesthesia around the ring and little fingers (C8 symptom) or ulnar aspect of the forearm (T1 symptom) after cervical laminoplasty (LP ...
Hitoshi Kudo   +8 more
doaj   +1 more source

Nonlinear Volterra difference equations in space lp

open access: yesDiscrete Dynamics in Nature and Society, 2004
We consider a class of vector nonlinear discrete-time Volterra equations in space lp and derive estimates for the norms of solutions. These estimates give us explicit stability conditions, which allow us to avoid finding Lyapunov functionals.
Michael I. Gil', Rigoberto Medina
doaj   +1 more source

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