Topological Degree Theory and Ulam’s Stability Analysis of a Boundary Value Problem of Fractional Differential Equations

DOI10.1007/978-3-030-28950-8_4zbMath1451.34006OpenAlexW2990001576MaRDI QIDQ5120107

Yongjin Li, Amjad Ali, Kamal Shah

Publication date: 9 September 2020

Published in: Frontiers in Functional Equations and Analytic Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-28950-8_4

zbMATH Keywords

fixed point theoremsexistence and uniquenessfractional differential equationsCaputo's fractional derivativecontraction mappingUlam's stabilityArzela-Ascali

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Perturbations of ordinary differential equations (34D10) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

Related Items (3)

Устойчивость по Уламу - Хайерсу четырехточечной краевой задачи для дифференциальных уравнений дробного порядка Капуто с параметром ⋮ Existence and uniqueness of solutions for coupled system of fractional differential equations involving proportional delay by means of topological degree theory ⋮ Study of an implicit type coupled system of fractional differential equations by means of topological degree theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Degree theory and existence of positive solutions to coupled systems of multi-point boundary value problems
• On the Hyers-Ulam stability of first-order impulsive delay differential equations
• Ulam-Hyers stability of fractional Langevin equations
• Mittag-Leffler-Ulam stabilities of fractional evolution equations
• Ulam's type stability of impulsive ordinary differential equations
• Investigation of positive solution to a coupled system of impulsive boundary value problems for nonlinear fractional order differential equations
• Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
• Hyers-Ulam stability of Euler's equation
• A Lyapunov approach to the stability of fractional differential equations
• Further results on exponential stability for impulsive switched nonlinear time-delay systems with delayed impulse effects
• Nontrivial solutions for a nonlinear multi-point boundary value problem of fractional order
• On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order
• Boundary value problems for differential equations with fractional order and nonlocal conditions
• Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations
• Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• On positive solutions of a nonlocal fractional boundary value problem
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On the stability of functional equations and a problem of Ulam
• Ulam-type stability for a class of implicit fractional differential equations with non-instantaneous integral impulses and boundary condition
• Hyers-Ulam stability of non-autonomous systems in terms of boundedness of Cauchy problems
• Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation
• Hyers-Ulam stability of linear differential equations of first order.
• Boundary value problems for fractional differential equations involving Caputo derivative in Banach spaces
• Stability of higher-order nonlinear impulsive differential equations
• Study in Fractional Differential Equations by Means of Topological Degree Methods
• Mittag-Leffler stability of impulsive differential equations of fractional order
• ON THE HYERS-ULAM STABILITY OF THE BANACH SPACE-VALUED DIFFERENTIAL EQUATION y'=λy
• Uniqueness results for fractional functional differential equations with infinite delay in Fréchet spaces
• Existence and uniqueness of positive solutions to a coupled system of nonlinear fractional order differential equations with anti periodic boundary conditions
• Ulam stability and data dependence for fractional differential equations with Caputo derivative
• Existence results for boundary value problems with non-linear fractional differential equations
• On the Stability of the Linear Mapping in Banach Spaces
• Existence results and Hyers-Ulam stability to a class of nonlinear arbitrary order differential equations
• Stability of functional equations in several variables

This page was built for publication: Topological Degree Theory and Ulam’s Stability Analysis of a Boundary Value Problem of Fractional Differential Equations