Ir al contenido

Documat


Nonlinear Multi-term Impulsive Fractional q-Difference Equations with Closed Boundary Conditions

  • Ahmed Alsaedi [1] ; Bashir Ahmad [1] ; Hana Al-Hutami [1]
    1. [1] King Abdulaziz University

      King Abdulaziz University

      Arabia Saudí

  • Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 2, 2024
  • Idioma: inglés
  • Enlaces
  • Resumen
    • We introduce and study a new class of nonlinear multi-term impulsive fractional qdifference equations supplemented with nonlocal boundary conditions. The classical fixed point theorems are applied to show the existence and uniqueness of solutions to the given problem. Examples are presented for illustrating the abstract results. Several new results appear as special cases of the ones presented in this article.

  • Referencias bibliográficas
    • 1. Zheng, X., Wang, H.: An error estimate of a numerical approximation to a hidden-memory variableorder space-time fractional diffusion equation....
    • 2. Zhang, F., Chen, G., Li, C., Kurths, J.: Chaos synchronization in fractional differential systems. Philos. Trans. R. Soc. A 371, 201201553...
    • 3. Javidi, M., Ahmad, B.: Dynamic analysis of time fractional order phytoplankton-toxic phytoplanktonzooplankton system. Ecol. Model. 318,...
    • 4. Ding, Y., Wang, Z., Ye, H.: Optimal control of a fractional-order HIV-immune system with memory. IEEE Trans. Control Syst. Technol. 20,...
    • 5. Kilbas, A.A., Srivastava, H.M., Trujillo, J.J.: Theory and Applications of Fractional Differential Equations. North-Holland Mathematics...
    • 6. Ahmad, B., Ntouyas, S.K.: Nonlocal Nonlinear Fractional-Order Boundary Value Problems. World Scientific, Singapore (2021)
    • 7. Alsulami, H., Kirane,M., Alhodily, S., Saeed, T., Nyamoradi, N.: Existence and multiplicity of solutions to fractional p-Laplacian systems...
    • 8. Ebrahimzadeh, A., Khanduzi, R., Beik, A., Samaneh, P., Baleanu, D.: Research on a collocation approach and three metaheuristic techniques...
    • 9. Agarwal, R., Hristova, S., O’Regan, D.: Integral presentations of the solution of a boundary value problem for impulsive fractional integro-differential...
    • 10. Nieto, J.J.: Fractional Euler numbers and generalized proportional fractional logistic differential equation. Fract. Calc. Appl. Anal....
    • 11. Kucche, K.D., Mali, A.D.: On the nonlinear (k,ψ)-Hilfer fractional differential equations. Chaos Solitons Fractals 152, 111335 (2021)
    • 12. Kiataramkul, C., Ntouyas, S.K., Tariboon, J.: Existence results for ψ-Hilfer fractional integrodifferential hybrid boundary value problems...
    • 13. Laadjal, Z., Jarad, F.: Existence, uniqueness and stability of solutions for generalized proportional fractional hybrid integro-differential...
    • 14. Nyamoradi, N., Ahmad, B. Generalized fractional differential systems with Stieltjes boundary conditions. Qual. Theory Dyn. Syst. 22, Paper...
    • 15. Graef, J.R., Kong, L.: Positive solutions for a class of higher order boundary value problems with fractional q-derivatives. Appl. Math....
    • 16. Ahmad, B., Ntouyas, S.K., Tariboon, J.: Quantum calculus. New concepts, impulsive IVPs and BVPs, inequalities. In: Trends in Abstract...
    • 17. Jiang, M., Huang, R.: Existence of solutions for q-fractional differential equations with nonlocal Erdélyi-Kober q-fractional integral...
    • 18. Liang, S., Samei, M.E.: New approach to solutions of a class of singular fractional q-differential problem via quantum calculus. Adv....
    • 19. Bai, C., Yang, D. :The iterative positive solution for a system of fractional q-difference equations with four-point boundary conditions....
    • 20. Wongcharoen, A., Thatsatian, A., Ntouyas, S.K., Tariboon, J.: Nonlinear fractional q-difference equation with fractional Hadamard and...
    • 21. Alsaedi, A., Al-Hutami, H., Ahmad, B., Agarwal, R.P.: Existence results for a coupled system of nonlinear fractional q-integro-difference...
    • 22. Lakshmikantham, V., Bainov, D.D., Simeonov, P.S.: Theory of Impulsive Differential Equations, vol. 6. World Scientific Publishing Co.,...
    • 23. Cardinali, T., Rubbioni, P.: Hereditary evolution processes under impulsive effects. Mediterr. J. Math., 18(3), Paper No. 91 (2021)
    • 24. Rao, X.B., Zhao, X.P., Chu, Y.D., Zhang, J.G., Gao, J.S.: The analysis of mode-locking topology in an SIR epidemic dynamics model with...
    • 25. Miron, R.E., Smith, R.J.: Resistance to protease inhibitors in a model of HIV-1 infection with impulsive drug effects. Bull. Math. Biol....
    • 26. Ali, M.S., Narayanan, G., Shekher, V., Alsaedi, A., Ahmad, B.: Global Mittag-Leffler stability analysis of impulsive fractional-order...
    • 27. Deswal, S., Choudhary, S.: Impulsive effect on an elastic solid with generalized thermo diffusion. J. Eng. Math. 63(1), 79–94 (2009)

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno