EN
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] Petras, I. (2011). Fractional-order nonlinear systems modeling, Analysis and Simulation, Springer. New York.
- [2] Ashyralyev A. (2009). A note on fractional derivatives and fractional powers of operators. JMAA. 357; 232-236.
- [3] Ashyralyev A. (2013). Well-posedness of fractional parabolic equations, Boundary Value Problems. 31; 1-18.
- [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] 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] Podlubny, I. (1999). Fractional differential equations. Mathematics in science and engineering, vol 198. Academic Press. San Diego.
- [7] Samko S.G., Kilbas A.A., Marichev O.I. (1993). Fractional Integrals and Derivatives. Gordon & Breach. Yverdon.
- [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
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