On the Asymptotic Behavior of Positive Solutions of Certain Fractional Differential Equations

Keywords

Algorithm, Computer science

References

• The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo TypeKai Diethelm — 2010
• Fractional Integrals and Derivatives: Theory and ApplicationsStefan Samko, Anatoly A. Kilbas, O. I. Marichev — 1993
• An Introduction to the Fractional Calculus and Fractional Differential EquationsKenneth S. Miller, Bertram Ross — 1993
• Theory and Applications of Fractional Differential EquationsA. Kilbas, H. Srivastava, J. Trujillo — 2006
• Fractional Dynamics and ControlDumitru Bǎleanu — 2011
• Integral inequalities of systems and the estimate for solutions of certain nonlinear two-dimensional fractional differential systemsQinghua Ma, ‎Josip Pečarić, Jianmei Zhang — 2011
• Oscillation of integro-dynamic equations on time scalesSaid R. Grace, John R. Graef, A. Zafer — 2012
• Oscillatory behavior of integro-dynamic and integral equations on time scalesSaid R. Grace, A. Zafer — 2014
• On the oscillation of fractional differential equationsSaid R. Grace, Ravi P. Agarwal, Patricia J. Y. Wong — 2012
• Linear Models of Dissipation whose Q is almost Frequency Independent-IIMichèle Caputo — 1967
• Asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equationsMartin Böhner, Said R. Grace, Nasrin Sultana — 2014
• Power-type Estimates for a Nonlinear Fractional Differential EquationChunhai Kou — 2007
• Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applicationsIgor Podlubný — 1998
• ResolutionN. Lam — 1949
• I and JW. Marsden — 2012

Cited by

• On the Asymptotic Behavior of Nonoscillatory Solutions of Certain Fractional Differential EquationsSaid R. Grace — 2018
• Asymptotic Behavior of Positive Solutions for Three Types of Fractional Difference Equations with Forcing TermSaid R. Grace, Hakan Adıgüzel, Jehad Alzabut — 2020
• Oscillation results for a nonlinear fractional differential equationPaul Bosch, José M. Rodrı́guez, José M. Sigarreta — 2023
• Forced-Perturbed Fractional Differential Equations of Higher Order: Asymptotic Properties of Non-Oscillatory SolutionsSaid R. Grace, G. N. Chhatria, S. Kaleeswari — 2024
• Oscillatory behavior of solutions of fractional differential equations with two different derivativesSaid R. Grace, G.N. Chhatria — 2026
• A new proof of Gronwall inequality with Atangana- Baleanu fractional derivativesSüleyman Öğrekçi, Yasemin Başcı, Adil Misir — 2020

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