Existence, stability and global attractivity results for nonlinear Riemann-Liouville fractional differential equations

• Autores: Bapurao C. Dhage, John R. Graef, Shyam B. Dhag
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 25, Nº. 1, 2023, págs. 23-36
• Idioma: inglés
• DOI: 10.56754/0719-0646.2501.023
• Enlaces
  • Texto completo
• Resumen
  • español

    Demostramos la existencia, atractividad y estabilidad de soluciones de la ecuación diferencial fraccional no-lineal de tipo Riemann-Liouville usando el clásico teorema de punto fijo de Schauder y un resultado de punto fijo de Dhage. Los resultados se ilustran con ejemplos.

  • English

    Existence, attractivity, and stability of solutions of a non-linear fractional differential equation of Riemann-Liouville type are proved using the classical Schauder fixed point theorem and a fixed point result due to Dhage. The results are illustrated with examples.

• Referencias bibliográficas
  • Agarwal, R.,Hristova, S.,O’Regan, D.. (2019). Basic concepts of Riemann-Liouville fractional differential equations with non-instantaneous...
  • Banas, J.,Dhage, B. C.. (2008). Global asymptotic stability of solutions of a functional integral equations. Nonlinear Anal.. 69. 1945
  • Dhage, B. C.. (2010). Quadratic perturbations of periodic boundary value problems of second order ordinary differential equations. Differ....
  • Dhage, B. C.. (2018). Some variants of two basic hybrid fixed point theorems of Krasnoselskii and Dhage with applications. Nonlinear Stud.....
  • Dhage, B. C.. (2019). Existence and attractivity theorems for nonlinear first order hybrid differential equations with anticipation and retardation....
  • Dhage, B. C.. (2020). Existence and attractivity theorems for nonlinear hybrid fractional differential equations with anticipation and retardation....
  • Dhage, B. C.. (2020). Existence and attractivity theorems for nonlinear hybrid fractional integrodifferential equations with anticipation...
  • Dhage, B. C.. (2021). Global asymptotic attractivity and stability theorems for nonlinear Caputo fractional differential equations. J. Fract....
  • Dhage, B. C.,Dhage, S. B.,Graef, J. R.. (2016). Local attractivity and stability analysis of a nonlinear quadratic fractional integral equation....
  • Dhage, B. C.,Dhage, S. B.,Sarkate, S. D.. (2014). Attractivity and existence results for hybrid differential equations with anticipation and...
  • Granas, A.,Dugundji, J.. (2003). Fixed Point Theory. Springer-Verlag. New York.
  • Kilbas, A. A.,Srivastava, H. M.,Trujillo, J. J.. (2006). Theory and applications of dractional differential equations. Elsevier Science B....
  • Podlubny, I.. (1999). Fractional differential equations. Academic Press, Inc.. San Diego.