ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS

DOI10.3846/13926292.2016.1198279zbMath1488.34308OpenAlexW2522338577MaRDI QIDQ5011641

Nasser-eddine Tatar, Khaled M. Furati, Mohammed D. Kassim

Publication date: 27 August 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2016.1198279

zbMATH Keywords

asymptotic behaviorfractional differential equationRiemann-Liouville fractional integral and fractional derivative

Mathematics Subject Classification ID

Asymptotic properties of solutions to ordinary differential equations (34D05) Inequalities involving derivatives and differential and integral operators (26D10) Fractional ordinary differential equations (34A08)

Related Items

Stability of logarithmic type for a Hadamard fractional differential problem ⋮ Superlinear solutions of sublinear fractional differential equations and regular variation ⋮ The asymptotic solutions of two-term linear fractional differential equations via Laplace transform ⋮ Nonexistence results for a sequential fractional differential problem ⋮ Nonexistence of global solutions for fractional differential problems with power type source term ⋮ Unnamed Item ⋮ Asymptotic behavior of solutions of fractional differential equations with Hadamard fractional derivatives ⋮ Numerical blow-up analysis of the explicit L1-scheme for fractional ordinary differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotically linear solutions for some linear fractional differential equations
• Asymptotic integration of \(1+\alpha\)-order fractional differential equations
• Global existence of solutions with prescribed asymptotic behavior for second-order nonlinear differential equations
• On the asymptotic integration of nonlinear differential equations
• Existence and uniqueness of solutions for the Cauchy-type problems of fractional differential equations
• Integral inequalities of Gronwall-Bellman-Bihari type and asymptotic behavior of certain second order nonlinear differential equations
• Existence of global solutions with prescribed asymptotic behavior for nonlinear ordinary differential equations
• Asymptotic to polynomials solutions for nonlinear differential equations
• On the asymptotic behavior of solutions for a class of second order nonlinear differential equations
• Asymptotic integration of a class of nonlinear differential equations
• On the existence of positive solutions of second order differential equations
• Asymptotic integration of some nonlinear differential equations with fractional time derivative
• On the solution set for a class of sequential fractional differential equations
• Researches of the boundedness and stability of the solutions of non-linear differential equations
• On the asymptotic integration of a class of sublinear fractional differential equations
• The Asymptotic Behavior of a Class of Nonlinear Differential Equations of Second Order
• ON THE ASYMPTOTIC BEHAVIOUR OF THE SOLUTIONS TO A CLASS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS
• ASYMPTOTIC INTEGRATION OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH INTEGRODIFFERENTIAL RIGHT-HAND SIDE
• Sufficient conditions for the exponential stability of delay difference equations with linear parts defined by permutable matrices
• On the Asymptotic Behavior of Solutions of a Nonlinear Equation
• The Asymptotic Behavior of a Class of Nonlinear Differential Equations
• On the Asymptotic Behavior of Solutions of Second Order Linear Differential Equations