Research Article

On the Solutions of the Higher Order Fractional Differential Equations of Riesz Space Derivative with Anti-Periodic Boundary Conditions

Volume: 4 Number: 4 December 27, 2021
EN

On the Solutions of the Higher Order Fractional Differential Equations of Riesz Space Derivative with Anti-Periodic Boundary Conditions

Abstract

We present existence and uniqueness results for a class of higher order anti-periodic fractional boundary value problems with Riesz space derivative which is two-sided fractional operator. The obtained results are established by applying some fixed point theorems. Various numerical examples are given to illustrate the obtained results.

Keywords

existence, fractional boundary value problems, anti-periodic boundary conditions

References

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APA
Toprakseven, Ş. (2021). On the Solutions of the Higher Order Fractional Differential Equations of Riesz Space Derivative with Anti-Periodic Boundary Conditions. Communications in Advanced Mathematical Sciences, 4(4), 171-179. https://doi.org/10.33434/cams.1016464
AMA
1.Toprakseven Ş. On the Solutions of the Higher Order Fractional Differential Equations of Riesz Space Derivative with Anti-Periodic Boundary Conditions. Communications in Advanced Mathematical Sciences. 2021;4(4):171-179. doi:10.33434/cams.1016464
Chicago
Toprakseven, Şuayip. 2021. “On the Solutions of the Higher Order Fractional Differential Equations of Riesz Space Derivative With Anti-Periodic Boundary Conditions”. Communications in Advanced Mathematical Sciences 4 (4): 171-79. https://doi.org/10.33434/cams.1016464.
EndNote
Toprakseven Ş (December 1, 2021) On the Solutions of the Higher Order Fractional Differential Equations of Riesz Space Derivative with Anti-Periodic Boundary Conditions. Communications in Advanced Mathematical Sciences 4 4 171–179.
IEEE
[1]Ş. Toprakseven, “On the Solutions of the Higher Order Fractional Differential Equations of Riesz Space Derivative with Anti-Periodic Boundary Conditions”, Communications in Advanced Mathematical Sciences, vol. 4, no. 4, pp. 171–179, Dec. 2021, doi: 10.33434/cams.1016464.
ISNAD
Toprakseven, Şuayip. “On the Solutions of the Higher Order Fractional Differential Equations of Riesz Space Derivative With Anti-Periodic Boundary Conditions”. Communications in Advanced Mathematical Sciences 4/4 (December 1, 2021): 171-179. https://doi.org/10.33434/cams.1016464.
JAMA
1.Toprakseven Ş. On the Solutions of the Higher Order Fractional Differential Equations of Riesz Space Derivative with Anti-Periodic Boundary Conditions. Communications in Advanced Mathematical Sciences. 2021;4:171–179.
MLA
Toprakseven, Şuayip. “On the Solutions of the Higher Order Fractional Differential Equations of Riesz Space Derivative With Anti-Periodic Boundary Conditions”. Communications in Advanced Mathematical Sciences, vol. 4, no. 4, Dec. 2021, pp. 171-9, doi:10.33434/cams.1016464.
Vancouver
1.Şuayip Toprakseven. On the Solutions of the Higher Order Fractional Differential Equations of Riesz Space Derivative with Anti-Periodic Boundary Conditions. Communications in Advanced Mathematical Sciences. 2021 Dec. 1;4(4):171-9. doi:10.33434/cams.1016464