Nonlocal fractional differential equations and applications

DOI10.1007/s11785-020-01006-1OpenAlexW3031274434MaRDI QIDQ785722

Veli B. Shakhmurov

Publication date: 10 August 2020

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.13422

zbMATH Keywords

abstract differential equationsoperator-valued multipliersmaximal \(L_p\) regularityabstract parabolic equationsfractional-differential equationsSobolev-Lions spaces

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Differential inequalities involving functions of a single real variable (34A40) Nonlinear ordinary differential operators (34L30) Groups and semigroups of linear operators, their generalizations and applications (47Dxx) Integral, integro-differential, and pseudodifferential operators (47Gxx) Abstract harmonic analysis (43Axx)

Related Items (3)

Integral type Cauchy problem for abstract wave equations and applications ⋮ Existence and stability results for nonlinear fractional integrodifferential coupled systems ⋮ Existence and stability of solution for nonlinear differential equations with \(\psi \)-Hilfer fractional derivative

Cites Work

• Existence and uniqueness of solutions for the system of nonlinear fractional differential equations with nonlocal and integral boundary conditions
• Maximal regular abstract elliptic equations and applications
• Regular boundary value problems for complete second order elliptic differential-operator equations in \(UMD\) Banach spaces
• Basic theory of fractional differential equations
• Maximal B-regular integro-differential equation
• A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative
• Semigroup estimates and noncoercive boundary value problems
• Maximal regular boundary value problems in Banach-valued weighted space
• Sectorial operators with convolution term
• Operator-Valued Fourier Multipliers, Vector - Valued Besov Spaces, and Applications
• ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
• Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Nonlocal fractional differential equations and applications