A Class of Initial Value Problems for Distributed Order Equations with a Bounded Operator

DOI10.1007/978-3-030-42831-0_22zbMath1455.34061OpenAlexW3029546885MaRDI QIDQ5128689

Aliya A. Abdrakhmanova, Vladimir Evgenyevich Fedorov

Publication date: 23 October 2020

Published in: Lecture Notes in Control and Information Sciences - Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-42831-0_22

zbMATH Keywords

Laplace transforminitial value probleminitial boundary value problemdistributed order equationthe Riemann-Liouville fractional derivative

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear differential equations in abstract spaces (34G10) Fractional ordinary differential equations (34A08)

Related Items (1)

A class of distributed order semilinear equationsin Banach spaces

Cites Work

• On a nonlinear distributed order fractional differential equation
• On the theory of the continual integro-differentiation operator
• Variable order and distributed order fractional operators
• Distributed order calculus and equations of ultraslow diffusion
• Cauchy and nonlocal multi-point problems for distributed order pseudo-differential equations. I
• Abstract multi-term fractional differential equations
• Distributed-Order Dynamic Systems
• Evolutionary Integral Equations and Applications
• Abstract Volterra Integro-Differential Equations
• THE CAUCHY PROBLEM FOR DISTRIBUTED ORDER EQUATIONS IN BANACH SPACES
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