Abstract Volterra integrodifferential equations with applications to parabolic models with memory
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Annalen"
DOI: 10.1007/s00208-016-1469-z
Abstract: In this paper we are concerned with local existence, regularity and continuous dependence upon the initial data of $$\epsilon $$ϵ-regular mild solutions for the abstract integrodifferential equation (1, 2). We also present a result on… read more here.
Keywords: applications parabolic; abstract volterra; integrodifferential equations; volterra integrodifferential ... See more keywords
Nonlocal Fractional Differential Equations and Applications
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DOI: 10.1007/s11785-020-01006-1
Abstract: The regularity properties of nonlocal fractional differential equations in Banach spaces are studied. Uniform $$L_{p}$$ L p -separability properties and sharp resolvent estimates are obtained for abstract elliptic operator in terms of fractional derivatives. Particularly,… read more here.
Keywords: nonlocal fractional; fractional differential; differential equations; operator ... See more keywords
Singular Lyapunov operator equations: applications to $$C^*-$$algebras, Fréchet derivatives and abstract Cauchy problems
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DOI: 10.1007/s13324-021-00596-z
Abstract: Let A be a closed operator on a separable Hilbert space $$\mathcal {H}$$ . In this paper we obtain sufficient conditions for the existence of a solution to the Lyapunov operator equation $$ A^*X+X^*A=I$$ ,… read more here.
Keywords: singular lyapunov; operator equations; lyapunov operator; operator ... See more keywords
Admissible inertial manifolds for neutral equations and applications
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DOI: 10.1080/14689367.2021.1971623
Abstract: We study the existence of admissible inertial manifolds for parabolic neutral functional differential equations of the form where the linear differential operator A is positive definite and self-adjoint with a discrete spectrum, the difference operator… read more here.
Keywords: inertial manifolds; admissible inertial; neutral equations; manifolds neutral ... See more keywords
Theorems on some families of fractional differential equations and their applications
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DOI: 10.21136/am.2019.0031-19
Abstract: We use the Laplace transform method to solve certain families of fractional order differential equations. Fractional derivatives that appear in these equations are defined in the sense of Caputo fractional derivative or the Riemann-Liouville fractional… read more here.
Keywords: fractional differential; differential equations; equations applications; theorems families ... See more keywords
A Note on Generalized q-Difference Equations and Their Applications Involving q-Hypergeometric Functions
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DOI: 10.3390/sym12111816
Abstract: Our investigation is motivated essentially by the demonstrated applications of the basic (or q-) series and basic (or q-) polynomials, especially the basic (or q-) hypergeometric functions and basic (or q-) hypergeometric polynomials, in many… read more here.
Keywords: difference equations; hypergeometric functions; generalized difference; note generalized ... See more keywords
A Scaled Dai-Yuan Projection-Based Conjugate Gradient Method for Solving Monotone Equations with Applications
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DOI: 10.3390/sym14071401
Abstract: In this paper, we propose two scaled Dai–Yuan (DY) directions for solving constrained monotone nonlinear systems. The proposed directions satisfy the sufficient descent condition independent of the line search strategy. We also reasonably proposed two… read more here.
Keywords: dai yuan; yuan projection; projection based; equations applications ... See more keywords