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Properties of Certain Volterra type ABC Fractional Integral Equations

Cilt: 6 Sayı: 3 30 Eylül 2022
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Properties of Certain Volterra type ABC Fractional Integral Equations

Abstract

In this paper we study existence, uniqueness and other properties of solutions of Volterra type ABC fractional integral equations. We have used Banach fixed point theorem with Bielecki type norm and Gronwall inequality in the frame of ABC fractional integral for proving our results.

Keywords

Destekleyen Kurum

Agencia Estatal de Investigacion (AEI) of Spain, co-financed by the European Fund for Regional Development (FEDER), project and by Xunta de Galicia

Proje Numarası

PID2020-113275GB-I00; ED431C 2019/02.

Kaynakça

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  6. [6] Ding X.L., Daniel C.L., Nieto J.J., A New Generalized Gronwall Inequality with a Double Singularity and Its Applications to Fractional Stochastic Differential Equations Stochastic Analysis and Applications, 019, 37(6), pp. 1042−1056.
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Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Eylül 2022

Gönderilme Tarihi

21 Ocak 2022

Kabul Tarihi

16 Nisan 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 6 Sayı: 3

Kaynak Göster

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