Analysis of neutral fractional differential equation via the method of upper and lower solution

DOI10.1007/S12346-023-00795-YzbMath1518.34082OpenAlexW4367179736MaRDI QIDQ6102013

Ramesh Kumar Vats, Kanika Dhawan, V. Vijayakumar

Publication date: 8 May 2023

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-023-00795-y

zbMATH Keywords

monotone sequencesupper and lower solutionsArzelá-Ascoli theoremneutral fractional differential equationsCaputo-Hadamard derivative

Mathematics Subject Classification ID

Neutral functional-differential equations (34K40) Functional-differential equations with fractional derivatives (34K37) Functional-differential inclusions (34K09)

Related Items (2)

Well-posedness of a nonlinear Hilfer fractional derivative model for the Antarctic Circumpolar Current ⋮ Analyzing Single and Multi-valued Nonlinear Caputo Two-Term Fractional Differential Equation With Integral Boundary Conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analytic study on linear neutral fractional differential equations
• Approximate controllability of nonlocal neutral fractional integro-differential equations with finite delay
• Approximate controllability of second-order semilinear control system
• Caputo-type modification of the Hadamard fractional derivatives
• Approximate controllability of semilinear fractional control systems of order \(\alpha\in (1, 2\) with infinite delay]
• On Caputo modification of the Hadamard fractional derivatives
• General uniqueness and monotone iterative technique for fractional differential equations
• Solutions for a singular Hadamard-type fractional differential equation by the spectral construct analysis
• Lower and upper solutions method for positive solutions of fractional boundary value problems
• Existence results for a coupled system of nonlinear neutral fractional differential equations
• The Lamb-Bateman integral equation and the fractional derivatives
• Coupled lower and upper solution approach for the existence of Solutions of nonlinear coupled system with nonlinear coupled boundary conditions
• Monotone iterative technique for neutral fractional differential equation with infinite delay
• Expansion Formulas in Terms of Integer-Order Derivatives for the Hadamard Fractional Integral and Derivative
• Caputo–Hadamard Fractional Derivatives of Variable Order
• Approximations of Solutions to Abstract Neutral Functional Differential Equation
• Methods for linear systems of circuit delay differential equations of neutral type
• Approximate controllability of semilinear fractional stochastic control system
• Results on the existence of Hilfer fractional neutral evolution equations with infinite delay via measures of noncompactness
• Coupled fractional differential equations involving Caputo–Hadamard derivative with nonlocal boundary conditions
• On Caputo–Hadamard fractional differential equations
• The uniqueness and iterative properties of solutions for a general Hadamard-type singular fractional turbulent flow model
• An upper-lower solution method for the eigenvalue problem of Hadamard-type singular fractional differential equation
• Robust H  reliable control for uncertain switched neutral systems with distributed delays
• Existence of solutions for nonlinear Caputo-Hadamard fractional differential equations via the method of upper and lower solutions
• Qualitative Analysis of Coupled Fractional Differential Equations involving Hilfer Derivative
• Discrete chaos in fractional sine and standard maps
• A new generalized approach to study the existence of solutions of nonlinear fractional boundary value problems
• Numerical study of generalized modified Caputo fractional differential equations

This page was built for publication: Analysis of neutral fractional differential equation via the method of upper and lower solution