On the asymptotic integration of a class of sublinear fractional differential equations

DOI10.1063/1.3271111zbMath1373.34004arXiv0904.1495OpenAlexW2963606490MaRDI QIDQ3583766

Octavian G. Mustafa, Dumitru Baleanu

Publication date: 17 August 2010

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.1495

zbMATH Keywords

interpolationnonlinear differential equationsintegration

Mathematics Subject Classification ID

Asymptotic properties of solutions to ordinary differential equations (34D05) Fractional ordinary differential equations (34A08)

Related Items

Existence results for a coupled system of nonlinear fractional multi-point boundary value problems at resonance, A uniqueness criterion for fractional differential equations with Caputo derivative, 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, Boundedness and power-type decay of solutions for a class of generalized fractional Langevin equations, Dissipativity and stability for a nonlinear differential equation with distributed order symmetrized fractional derivative, Asymptotic behavior of solutions for a class of fractional integro-differential equations, Existence results for a coupled system of nonlinear fractional three-point boundary value problems at resonance, Robust synchronization of perturbed Chen's fractional-order chaotic systems, Convergence of solutions of fractional differential equations to power-type functions, On the bound of the Lyapunov exponents for the fractional differential systems, ASYMPTOTIC INTEGRATION OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH INTEGRODIFFERENTIAL RIGHT-HAND SIDE, ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homotopy perturbation method for nonlinear partial differential equations of fractional order
• On exact solutions of a class of fractional Euler-Lagrange equations
• Stability analysis of linear fractional differential system with multiple time delays
• On the asymptotic integration of nonlinear differential equations
• A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor's formula
• Some recent advances in theory and simulation of fractional diffusion processes
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Existence and uniqueness for a nonlinear fractional differential equation
• Hamiltonian formulation of systems with linear velocities within Riemann-Liouville fractional derivatives
• Formulation of Euler-Lagrange equations for fractional variational problems
• Lagrangean and Hamiltonian fractional sequential mechanics.
• Power-type estimates for a nonlinear fractional differential equation
• A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
• Researches of the boundedness and stability of the solutions of non-linear differential equations
• EXISTENCE OF POSITIVE EVANESCENT SOLUTIONS TO SOME QUASILINEAR ELLIPTIC EQUATIONS
• Advances in Fractional Calculus
• An iterative learning observer for fault detection and accommodation in nonlinear time-delay systems
• Variational problems with fractional derivatives: Euler–Lagrange equations