Some Fractal-Fractional Integral Inequalities for Different Kinds of Convex Functions
Öz
Anahtar Kelimeler
Kaynakça
- [1] Samko S., Kilbas A., Marichev O., 1993. Fractional Integrals and Derivatives: Theory and Applications. Gordon and Breach, Linghorne.
- [2] Podlubny I., 1998. Fractional Differential Equations: An Introduction to Fractional Derivatives. Fractional Differential Equations to Methods of Their Applications vol. 198. Academic press.
- [3] Lazarević M. P., Rapaić M. R., BŠekara T., 2014. Introduction to Fractional Calculus with Brief Historical Background. Advanced Topics on Applications of Fractional Calculus on Control Problems, System Stability and Modeling, WSEAS Press.
- [4] Caputo M., Fabrizio M., 2015. A new definition of fractional derivative without singular kernel. Progress in Fractional Differentiation and Applications, 1(2), pp. 73-85.
- [5] Atangana A., Baleanu D., 2016. New fractional derivatives with non-local and non-singular kernel. Theory and Application to Heat Transfer Model, Thermal Science, 20(2), pp. 763-769.
- [6] Atangana A., 2017. Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system. Chaos Soliton. Fract.,102, pp. 396-406.
- [7] Anderson G. D, Vamanamurthy M. K., Vuorinen M., 2007. Generalized convexity and inequalities, J. Math. Anal. Appl, 335, pp. 1294-1308.
- [8] Kirmaci U. S., Bakula M. K, Özdemir M. E., Pecaric J., 2007. Hadamard type inequalities of s-convex functions. Applied Mathematics and Computation, 193, pp. 26-35.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Matematik
Bölüm
Araştırma Makalesi
Yazarlar
Ebru Yüksel
*
0000-0001-7081-5924
Türkiye
Yayımlanma Tarihi
30 Kasım 2022
Gönderilme Tarihi
29 Aralık 2021
Kabul Tarihi
24 Şubat 2022
Yayımlandığı Sayı
Yıl 2022 Cilt: 5 Sayı: ICOLES2021 Special Issue