Distributed Order Equations in Banach Spaces with Sectorial Operators

DOI10.1007/978-3-030-35914-0_23zbMath1494.34132OpenAlexW3016225193MaRDI QIDQ3296666

Aliya A. Abdrakhmanova, Vladimir Evgenyevich Fedorov

Publication date: 1 July 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-35914-0_23

zbMATH Keywords

Cauchy probleminitial boundary value problemdegenerate evolution equationdistributed order differential equationdifferential equation in a Banach spacefractional Gerasimov-Caputo derivative

Mathematics Subject Classification ID

Linear differential equations in abstract spaces (34G10) Fractional ordinary differential equations (34A08) Sectorial operators (47B12)

Related Items

Linear equations with distributed Riemann-Liouville derivatives given by Stieltjes integrals and their analytic resolving families of operators, Multi-term equations with Riemann-Liouville derivatives and Hölder type function spaces, Start control problem for a class of degenerate equationswith lower order fractional derivatives, A class of distributed order semilinear equationsin Banach spaces

Cites Work

• Strong solutions of quasilinear equations in Banach spaces not solvable with respect to the highest-order derivative
• Distributed control problems for a class of degenerate semilinear evolution equations
• Quasilinear equations that are not solved for the higher-order time derivative
• Equations in Banach spaces with a degenerate operator under a fractional derivative
• The modified Kuhn model of linear viscoelasticity
• Subordination approach to multi-term time-fractional diffusion-wave equations
• On the theory of the continual integro-differentiation operator
• Subordination in a class of generalized time-fractional diffusion-wave equations
• Fundamental solution of a distributed order time-fractional diffusion-wave equation as probability density
• Distributed order calculus and equations of ultraslow diffusion
• Cauchy and nonlocal multi-point problems for distributed order pseudo-differential equations. I
• Resolving operators of degenerate evolution equations with fractional derivative with respect to time
• Cauchy problem for fractional diffusion-wave equations with variable coefficients
• Time distributed-order diffusion-wave equation. I. Volterra-type equation
• Time distributed-order diffusion-wave equation. II. Applications of Laplace and Fourier transformations
• Evolutionary Integral Equations and Applications
• ON A CLASS OF ABSTRACT DEGENERATE MULTI-TERM FRACTIONAL DIFFERENTIAL EQUATIONS IN LOCALLY CONVEX SPACES
• Degenerate fractional differential equations in locally convex spaces with a $\sigma$-regular pair of operators
• THE CAUCHY PROBLEM FOR DISTRIBUTED ORDER EQUATIONS IN BANACH SPACES
• Analytic in a Sector Resolving Families of Operators for Degenerate Evolution Fractional Equations
• Fractional Calculus with Applications in Mechanics
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