Research Article

Existence Results for Anti-periodic of a Generalized Fractional Derivative Differential Equations

Volume: 5 Number: 1 June 28, 2022
EN

Existence Results for Anti-periodic of a Generalized Fractional Derivative Differential Equations

Abstract

We study in the present work the existence of solutions to antiperiodic boundary value problem for differential equations involving generalized fractional derivative via fixed point methods.

Keywords

References

  1. R.P. Agarwal , B. Ahmad, Existence theory for anti-periodic boundary value problems of fractional differential equations and inclusions
  2. B. Ahmad, J.J. Nieto, Existence of solutions for impulsive anti-periodic boundary value problems of fractional order
  3. M. Ashordia, On the solvability of the antiperiodic boundary value problem for systems of linear generalized differential equations
  4. M. Benchohra, K. Maazouz, Existence and uniqueness results for implicit fractional differential equations with integral boundary conditions, Communications in Applied Analysis,20(2016),355-366.
  5. A. Cabada, K. Maazouz, Results for Fractional Differential Equations with Integral Boundary Conditions Involving the Hadamard Derivative. In: Area I. et al. (eds) Nonlinear Analysis and Boundary Value Problems. NABVP 2018. Springer Proceedings in Mathematics & Statistics, vol 292. Springer, Cham (2019).
  6. G. Chai, Anti-periodic boundary value problems of fractional differential equations with the Riemann-Liouville fractional derivative Fractional Differential Equations
  7. R. Hakl, A. Lomtatidze, and J.???Sremr, On a boundary-value problem of antiperiodic type for first-order nonlinear functional differential equations of nonVolterra type
  8. U.N. Katugampola, New approach to generalized fractional integral, Appl. Math. Comput. 218(3) (2011), 860-865.

Details

Primary Language

English

Subjects

Applied Mathematics

Journal Section

Research Article

Publication Date

June 28, 2022

Submission Date

February 21, 2022

Acceptance Date

May 31, 2022

Published in Issue

Year 2022 Volume: 5 Number: 1

APA
Maazouz, K., Vivek, D., & Elsayed, E. (2022). Existence Results for Anti-periodic of a Generalized Fractional Derivative Differential Equations. International Journal of Informatics and Applied Mathematics, 5(1), 74-83. https://doi.org/10.53508/ijiam.1076598
AMA
1.Maazouz K, Vivek D, Elsayed E. Existence Results for Anti-periodic of a Generalized Fractional Derivative Differential Equations. IJIAM. 2022;5(1):74-83. doi:10.53508/ijiam.1076598
Chicago
Maazouz, Kadda, Dvivek Vivek, and Elsayed Elsayed. 2022. “Existence Results for Anti-Periodic of a Generalized Fractional Derivative Differential Equations”. International Journal of Informatics and Applied Mathematics 5 (1): 74-83. https://doi.org/10.53508/ijiam.1076598.
EndNote
Maazouz K, Vivek D, Elsayed E (June 1, 2022) Existence Results for Anti-periodic of a Generalized Fractional Derivative Differential Equations. International Journal of Informatics and Applied Mathematics 5 1 74–83.
IEEE
[1]K. Maazouz, D. Vivek, and E. Elsayed, “Existence Results for Anti-periodic of a Generalized Fractional Derivative Differential Equations”, IJIAM, vol. 5, no. 1, pp. 74–83, June 2022, doi: 10.53508/ijiam.1076598.
ISNAD
Maazouz, Kadda - Vivek, Dvivek - Elsayed, Elsayed. “Existence Results for Anti-Periodic of a Generalized Fractional Derivative Differential Equations”. International Journal of Informatics and Applied Mathematics 5/1 (June 1, 2022): 74-83. https://doi.org/10.53508/ijiam.1076598.
JAMA
1.Maazouz K, Vivek D, Elsayed E. Existence Results for Anti-periodic of a Generalized Fractional Derivative Differential Equations. IJIAM. 2022;5:74–83.
MLA
Maazouz, Kadda, et al. “Existence Results for Anti-Periodic of a Generalized Fractional Derivative Differential Equations”. International Journal of Informatics and Applied Mathematics, vol. 5, no. 1, June 2022, pp. 74-83, doi:10.53508/ijiam.1076598.
Vancouver
1.Kadda Maazouz, Dvivek Vivek, Elsayed Elsayed. Existence Results for Anti-periodic of a Generalized Fractional Derivative Differential Equations. IJIAM. 2022 Jun. 1;5(1):74-83. doi:10.53508/ijiam.1076598

Cited By

International Journal of Informatics and Applied Mathematics