Journal of Mathematical Analysis and Modeling

Journal of Mathematical Analysis and Modeling

Investigation of a Class of Implicit Anti-Periodic Boundary Value Problems

Yazarlar: Laila Hashtamand

Cilt 2 , Sayı 1 , 2021 , Sayfalar 47-61

Konular:-

DOI:10.48185/jmam.v2i1.169

Anahtar Kelimeler:Anti,Eriodic boundary value problem,Fixed point theorem,Stability results

Özet: This research is devoted to studying a class of implicit fractional order differential equations ($\mathrm{FODEs}$) under anti-periodic boundary conditions ($\mathrm{APBCs}$). With the help of classical fixed point theory due to $\mathrm{Schauder}$ and $\mathrm{Banach}$, we derive some adequate results about the existence of at least one solution. Moreover, this manuscript discusses the concept of stability results including Ulam-Hyers (HU) stability, generalized Hyers-Ulam (GHU) stability, Hyers-Ulam Rassias (HUR) stability, and generalized Hyers-Ulam- Rassias (GHUR)stability. Finally, we give three examples to illustrate our results.

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@article{2021, title={Investigation of a Class of Implicit Anti-Periodic Boundary Value Problems}, volume={2}, number={47–61}, publisher={Journal of Mathematical Analysis and Modeling}, author={Laila Hashtamand}, year={2021} }
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Laila Hashtamand. (2021). Investigation of a Class of Implicit Anti-Periodic Boundary Value Problems (Vol. 2). Vol. 2. Journal of Mathematical Analysis and Modeling.
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Laila Hashtamand. Investigation of a Class of Implicit Anti-Periodic Boundary Value Problems. no. 47–61, Journal of Mathematical Analysis and Modeling, 2021.
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