Results 11 to 20 of about 2,075 (100)
Veterinary Dermatology, Volume 34, Issue 5, Page 425-440, October 2023., 2023 Background – While the clinical features were described recently, the histopathological characterisation of trunk‐dominant canine pemphigus foliaceus (PF) is lacking, and whether it differs from classic facial or insecticide‐triggered PF is unknown. Hypothesis/Objectives – This study describes the histopathological findings of trunk‐dominant PF, and ...
Natalie Katharina Yvonne Gedon +6 more
wiley +1 more source
Three‐Point Boundary Value Problems for the Langevin Equation with the Hilfer Fractional Derivative
Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020 We discuss the existence and uniqueness of solutions for the Langevin fractional differential equation and its inclusion counterpart involving the Hilfer fractional derivatives, supplemented with three‐point boundary conditions by means of standard tools of the fixed‐point theorems for single and multivalued functions.
Athasit Wongcharoen +4 more
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Journal of Function Spaces, Volume 8, Issue 3, Page 215-244, 2010., 2010 We consider non‐standard Hölder spaces Hλ(⋅)(X) of functions f on a metric measure space (X, d, μ), whose Hölder exponent λ(x) is variable, depending on x ∈ X. We establish theorems on mapping properties of potential operators of variable order α(x), from such a variable exponent Hölder space with the exponent λ(x) to another one with a “better ...
Natasha Samko +3 more
wiley +1 more source
Characterization of Riesz and Bessel potentials on variable Lebesgue spaces
Journal of Function Spaces, Volume 4, Issue 2, Page 113-144, 2006., 2006 Riesz and Bessel potential spaces are studied within the framework of the Lebesgue spaces with variable exponent. It is shown that the spaces of these potentials can be characterized in terms of convergence of hypersingular integrals, if one assumes that the exponent satisfies natural regularity conditions. As a consequence of this characterization, we
Alexandre Almeida +2 more
wiley +1 more source
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.The main objective of this research involves studying a new novel coupled pantograph system with fractional operators together with nonlocal antiperiodic integral boundary conditions. The system consists of nonlinear pantograph fractional equations which integrate with Caputo fractional operators and Hadamard integrals.
Gunaseelan Mani +4 more
wiley +1 more source
Some analytical properties of solutions of differential equations of noninteger order
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 13, Page 697-701, 2004., 2004 The analytical properties of solutions of the nonlinear differential equations x(α)(t) = f(t, x), α ∈ ℝ, 0 < α ≤ 1 of noninteger order have been investigated. We obtained two results concerning the frame curves of solutions. Moreover, we proved a result on differential inequality with fractional derivatives.
S. M. Momani, S. B. Hadid, Z. M. Alawenh
wiley +1 more source
Strict LpSolutions for Nonautonomous Fractional Evolution Equations [PDF]
, 2012 MSC 2010: 26A33, 34A08 ...
Bazhlekova, Emilia
core
Fractional Fokker-Planck-Kolmogorov type Equations and their Associated Stochastic Differential Equations [PDF]
, 2011 MSC 2010: 26A33, 35R11, 35R60, 35Q84, 60H10 Dedicated to 80-th anniversary of Professor Rudolf GorenfloThere is a well-known relationship between the Itô stochastic differential equations (SDEs) and the associated partial differential equations called ...
Hahn, Marjorie, Umarov, Sabir
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Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In this manuscript, we establish existence, uniqueness, and trajectory controllability for higher order noninstantaneous impulsive fractional neutral stochastic differential equations. First, solvability and uniqueness results are obtained using a fixed‐point approach with appropriate assumptions on nonlinear functions. Next, we deal with the strongest
Dhanalakshmi Kasinathan +5 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 22, Page 1133-1149, 2004., 2004 We study the existence of mild solutions of the nonlinear second‐order neutral functional differential and integrodifferential inclusions with nonlocal conditions in Banach spaces. The results are obtained by using the theory of strongly continuous cosine families of bounded linear operators and a fixed point theorem for condensing maps due to Martelli.
S. Marshal Anthoni +2 more
wiley +1 more source