Existence and uniqueness of mild solution for fractional-order controlled fuzzy evolution equation

DOI10.1155/2021/5795065zbMath1487.34003OpenAlexW4200599879MaRDI QIDQ2071851

Ramsha Shafqat, Naveed Iqbal, Azmat Ullah Khan Niazi, Shamsullah Zaland

Publication date: 31 January 2022

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/5795065

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Control problems involving ordinary differential equations (34H05) Fractional ordinary differential equations (34A08) Fuzzy ordinary differential equations (34A07)

Related Items (6)

Novel evaluation of fuzzy fractional Cauchy reaction-diffusion equation ⋮ Novel evaluation of fuzzy fractional Helmholtz equations ⋮ Retraction notice to: ``Existence and uniqueness of mild solution for fractional-order controlled fuzzy evolution equation ⋮ Controllability of Prabhakar fractional dynamical systems ⋮ Existence results of fuzzy delay impulsive fractional differential equation by fixed point theory approach ⋮ Local and global existence and uniqueness of solution for class of fuzzy fractional functional evolution equation

Cites Work

• Unnamed Item
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• On fractional differential equations and inclusions with nonlocal and average-valued (integral) boundary conditions
• On fuzzy b-metric-like spaces
• On the concept of solution for fractional differential equations with uncertainty
• On the quasi-controllability of continuous-time dynamic fuzzy control systems
• Basic theory of fractional differential equations
• Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Existence of solutions of fuzzy differential equations with parameters
• A general class of periodic boundary value problems for controlled nonlinear impulsive evolution equations on Banach spaces
• Existence, uniqueness and stability of fuzzy fractional differential equations with local Lipschitz and linear growth conditions
• Fuzzy differential equation with nonlocal conditions and fuzzy semigroup
• Explicit solutions of fractional differential equations with uncertainty
• Ulam stability for a delay differential equation
• Control fuzzy metric spaces via orthogonality with an application
• Generalized differentiability of fuzzy-valued functions
• Integrals of set-valued functions
• Fuzzy Arbitrary Order System
• Fuzzy dynamical systems and Invariant attractor sets for fuzzy strongly continuous semigroups
• Periodic boundary value problems for controlled nonlinear impulsive evolution equations on Banach spaces
• Estimation of Controllable Initial Fuzzy States of Linear Time-Invariant Dynamical Systems
• Fuzzy random variables
• Fuzzy differential equations

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