Araştırma Makalesi

On Existence and Uniqueness of Some Fractional Order Integro-Differential Equation

Cilt: 16 Sayı: 2 31 Ağustos 2023
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On Existence and Uniqueness of Some Fractional Order Integro-Differential Equation

Öz

In this study, a sufficient condition for the existence and uniqueness of some fractional order Integral-Differential equations is obtained. Therefore, the fixed point method is used to solve the differential equation problem involving nonlinear degree integrals. In addition, the results found is supported by examples.

Anahtar Kelimeler

Kaynakça

  1. [1] Petras, I. (2011). Fractional-order nonlinear systems modeling, Analysis and Simulation, Springer. New York.
  2. [2] Ashyralyev A. (2009). A note on fractional derivatives and fractional powers of operators. JMAA. 357; 232-236.
  3. [3] Ashyralyev A. (2013). Well-posedness of fractional parabolic equations, Boundary Value Problems. 31; 1-18.
  4. [4] Ashyralyev A. and Cakir, Z. (2013). FDM for fractional parabolic equations with the Neumann condition. Advances in Difference Equations, 2013(120), doi:10.1186/1687-1847-2013-120.
  5. [5] Ashyralyev A., Emirov N. and Cakir Z. (2014). Well-posedness of fractional parabolic differential and difference equations with Dirchlet-Neumann condition, Electronic Journal of Differential Equations. 2014 (97); 1-17.
  6. [6] Podlubny, I. (1999). Fractional differential equations. Mathematics in science and engineering, vol 198. Academic Press. San Diego.
  7. [7] Samko S.G., Kilbas A.A., Marichev O.I. (1993). Fractional Integrals and Derivatives. Gordon & Breach. Yverdon.
  8. [8] Baleanu D, Garra, R, Petras, I. (2013). A fractional variational approach to the fractional Basset-Type equation, Reports on Mathematical Physics. 72 (1); 57-64.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Erken Görünüm Tarihi

24 Ağustos 2023

Yayımlanma Tarihi

31 Ağustos 2023

Gönderilme Tarihi

16 Aralık 2022

Kabul Tarihi

13 Nisan 2023

Yayımlandığı Sayı

Yıl 2023 Cilt: 16 Sayı: 2

Kaynak Göster

APA
Cona, L., & Bal, E. (2023). On Existence and Uniqueness of Some Fractional Order Integro-Differential Equation. Erzincan University Journal of Science and Technology, 16(2), 297-310. https://doi.org/10.18185/erzifbed.1220243
AMA
1.Cona L, Bal E. On Existence and Uniqueness of Some Fractional Order Integro-Differential Equation. Erzincan University Journal of Science and Technology. 2023;16(2):297-310. doi:10.18185/erzifbed.1220243
Chicago
Cona, Lale, ve Esmahan Bal. 2023. “On Existence and Uniqueness of Some Fractional Order Integro-Differential Equation”. Erzincan University Journal of Science and Technology 16 (2): 297-310. https://doi.org/10.18185/erzifbed.1220243.
EndNote
Cona L, Bal E (01 Ağustos 2023) On Existence and Uniqueness of Some Fractional Order Integro-Differential Equation. Erzincan University Journal of Science and Technology 16 2 297–310.
IEEE
[1]L. Cona ve E. Bal, “On Existence and Uniqueness of Some Fractional Order Integro-Differential Equation”, Erzincan University Journal of Science and Technology, c. 16, sy 2, ss. 297–310, Ağu. 2023, doi: 10.18185/erzifbed.1220243.
ISNAD
Cona, Lale - Bal, Esmahan. “On Existence and Uniqueness of Some Fractional Order Integro-Differential Equation”. Erzincan University Journal of Science and Technology 16/2 (01 Ağustos 2023): 297-310. https://doi.org/10.18185/erzifbed.1220243.
JAMA
1.Cona L, Bal E. On Existence and Uniqueness of Some Fractional Order Integro-Differential Equation. Erzincan University Journal of Science and Technology. 2023;16:297–310.
MLA
Cona, Lale, ve Esmahan Bal. “On Existence and Uniqueness of Some Fractional Order Integro-Differential Equation”. Erzincan University Journal of Science and Technology, c. 16, sy 2, Ağustos 2023, ss. 297-10, doi:10.18185/erzifbed.1220243.
Vancouver
1.Lale Cona, Esmahan Bal. On Existence and Uniqueness of Some Fractional Order Integro-Differential Equation. Erzincan University Journal of Science and Technology. 01 Ağustos 2023;16(2):297-310. doi:10.18185/erzifbed.1220243

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