Existence and Optimal Controls for Generalized Riemann–Liouville Fractional Sobolev‐Type Stochastic Integrodifferential Equations of Order ϑ∈(1,2)
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DOI: 10.1002/mma.10662
Abstract: This manuscript addresses the optimal control of generalized Riemann–Liouville fractional (Hilfer fractional) Sobolev‐type stochastic differential equations of order ϑ∈(1,2)$$ \vartheta \in \kern0.3em \left(1,2\right) $$ in separable Hilbert spaces. First, the existence of mild solutions for… read more here.
Keywords: liouville fractional; existence; fractional sobolev; sobolev type ... See more keywords
Instantaneous Blow‐Up for a Generalized Drift Wave Differential Inequality of Sobolev Type
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DOI: 10.1002/mma.10985
Abstract: The goal of this paper is to study the nonexistence of local weak solutions to a generalized drift wave differential inequality of Sobolev type posed in infinite parallelepiped, under an inhomogeneous Dirichlet boundary condition. Our… read more here.
Keywords: differential inequality; wave differential; inequality sobolev; drift wave ... See more keywords
Soliton‐Like Solutions and Determination of Unique Physical Problems for the Nonclassical Sobolev‐Type Equation in Fluid Dynamics
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DOI: 10.1002/mma.70366
Abstract: The current study deals with Sobolev‐type equations, which are utilized in numerous disciplines, including thermodynamics, fluid dynamics, ecology, and soil mechanics. In the present manuscript, we investigate Sobolev‐type models by means of the modified auxiliary… read more here.
Keywords: equation; physical problems; sobolev type; fluid dynamics ... See more keywords
Sobolev type inequalities for fractional maximal functions and Green potentials in half spaces
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DOI: 10.1007/s11117-021-00810-z
Abstract: In this paper, we study Sobolev type inequalities for fractional maximal functions in the half space. We also discuss Sobolev type inequalities for Green potentials in the half space. read more here.
Keywords: inequalities fractional; type inequalities; green potentials; fractional maximal ... See more keywords
Extremals for Hardy-Sobolev type inequalities with monomial weights
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DOI: 10.1016/j.jmaa.2020.124645
Abstract: Abstract In this article we study the existence and non-existence of extremals for the following family of Hardy-Sobolev inequalities ( ∫ ( R + ) k × R N − k | x B u… read more here.
Keywords: extremals hardy; type inequalities; inequalities monomial; hardy sobolev ... See more keywords
New discussion on the approximate controllability of Sobolev-type Hilfer fractional stochastic mixed Volterra-Fredholm integrodifferential inclusions of order 1 < μ < 2
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DOI: 10.1080/07362994.2024.2443290
Abstract: Abstract. The primary focus of this article is to explore the existence and controllability of a new class of Sobolev-type Hilfer fractional stochastic Volterra-Fredholm integrodifferential systems in Hilbert spaces. Our main findings are grounded in… read more here.
Keywords: type hilfer; fractional stochastic; hilfer fractional; volterra fredholm ... See more keywords
Sobolev Type Nonlinear (k, ψ) - Hilfer Fractional Differential Equations with Control : Approximate Controllability Exploration
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DOI: 10.1115/1.4066220
Abstract: This paper is concerned with the approximate controllability of Sobolev type (k, ψ) - Hilfer fractional differential equations with control and Sobolev type (k,ψ) - Hilfer fractional initial conditions in Hilbert spaces. By mean of… read more here.
Keywords: fractional differential; control; hilfer fractional; sobolev type ... See more keywords
Studies over the existence of a certain impulse-based fuzzy integrodifferential equations of the Sobolev type
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DOI: 10.1186/s13104-023-06638-y
Abstract: The present investigation employs impulses and a non-local constraint to prove the existence are some various types of abstract differential and integrodifferential equations related to the Sobolev type. Semigroup theory, specifically variants of constant formula,… read more here.
Keywords: existence certain; impulse based; certain impulse; sobolev type ... See more keywords
Solvability of Nonlocal Problems for Systems of Sobolev-Type Differential Equations with a Multipoint Condition
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DOI: 10.3103/s1066369x19120016
Abstract: We consider a nonlocal problem for a system of loaded differential equations of the Sobolev type with a multipoint constraint. By introducing additional unknown functions, we reduce the problem under consideration to an equivalent problem… read more here.
Keywords: sobolev type; problem system; differential equations; problem ... See more keywords
An Analysis of the Recurrence Coefficients for Symmetric Sobolev-Type Orthogonal Polynomials
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DOI: 10.3390/sym13040534
Abstract: In this contribution we obtain some algebraic properties associated with the sequence of polynomials orthogonal with respect to the Sobolev-type inner product:p,qs=∫Rp(x)q(x)dμ(x)+M0p(0)q(0)+M1p′(0)q′(0), where p,q are polynomials, M0, M1 are non-negative real numbers and μ is… read more here.
Keywords: analysis recurrence; recurrence coefficients; sobolev type; recurrence ... See more keywords