EN
New generalization of reverse Minkowski's inequality for fractional integral
Öz
In this research, we introduce some new fractional integral inequalities of Minkowski’s type by using Riemann-Liouville fractional
integral operator. We replace the constants that appear on Minkowski’s inequality by two positive functions. Further, we
establish some new fractional inequalities related to the reverse Minkowski type inequalities via Riemann-Liouville fractional
integral. Using this fractional integral operator, some special cases of reverse Minkowski type are also discussed.
Anahtar Kelimeler
Destekleyen Kurum
None
Proje Numarası
None
Kaynakça
- [1] M.S. Abdo, K. shah, S.K. Panchal, H.A. Wahash, Existence and Ulam stability results of a coupled system for terminal value problems involving -Hilfer fractional operator, Adv. Di er. Equ., 2020(1), 1-21.
- [2] M.S. Abdo, T.Abdeljawad, S. M. Ali, K. shah, F. Jarad, Existence of positive solutions for weighted fractional order differential equations, Chaos Solitons Fractals 141, (2020), 110341. https://doi.org/10.1016/j.chaos.2020.110341
- [3] T.A. Aljaaidi, D.B. Pachpatte, Some Gruss-type Inequalities Using Generalized Katugampola Fractional Integral, AIMS Mathematics, 5(2), (2020), 1011-1024. doi: 10.3934/math.2020070
- [4] T.A. Aljaaidi, D.B. Pachpatte, The Minkowski's Inequalities via ψ-Riemann-Liouville fractional Integral Operators, Rend. Circ. Mat. Palermo, ii. ser. (2020). https://doi.org/10.1007/s12215-020-00539-w
- [5] G.A. Anastassiou, Fractional Differentiation Inequalities, Springer, Dordrecht, The Netherlands, (2010).
- [6] L. Bougoffa, On Minkowski and Hardy integral inequalities, Journal of Inequalities in Pure and Applied Mathematics, 7 (2), (2006), 1-3.
- [7] V.L. Chinchane, D.B. Pachpatte, New fractional inequalities involving Saigo fractional integral operator, Math. Sci. Lett., 3 (3), (2014), 133-139.
- [8] V. L. Chinchane, D. B. Pachpatte, New fractional inequalities via Hadamard fractional integral, Internat. J. Functional Analysis and Application, 5 (3), (2013), 165-176. http://dx.doi.org/10.12785/msl/030301
Ayrıntılar
Birincil Dil
İngilizce
Konular
Matematik
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
31 Mart 2021
Gönderilme Tarihi
24 Haziran 2020
Kabul Tarihi
31 Aralık 2020
Yayımlandığı Sayı
Yıl 2021 Cilt: 5 Sayı: 1
APA
Aljaaidi, T. A., & Pachpatte, D. (2021). New generalization of reverse Minkowski’s inequality for fractional integral. Advances in the Theory of Nonlinear Analysis and its Application, 5(1), 72-81. https://doi.org/10.31197/atnaa.756605
AMA
1.Aljaaidi TA, Pachpatte D. New generalization of reverse Minkowski’s inequality for fractional integral. ATNAA. 2021;5(1):72-81. doi:10.31197/atnaa.756605
Chicago
Aljaaidi, Tariq A., ve Deepak Pachpatte. 2021. “New generalization of reverse Minkowski’s inequality for fractional integral”. Advances in the Theory of Nonlinear Analysis and its Application 5 (1): 72-81. https://doi.org/10.31197/atnaa.756605.
EndNote
Aljaaidi TA, Pachpatte D (01 Mart 2021) New generalization of reverse Minkowski’s inequality for fractional integral. Advances in the Theory of Nonlinear Analysis and its Application 5 1 72–81.
IEEE
[1]T. A. Aljaaidi ve D. Pachpatte, “New generalization of reverse Minkowski’s inequality for fractional integral”, ATNAA, c. 5, sy 1, ss. 72–81, Mar. 2021, doi: 10.31197/atnaa.756605.
ISNAD
Aljaaidi, Tariq A. - Pachpatte, Deepak. “New generalization of reverse Minkowski’s inequality for fractional integral”. Advances in the Theory of Nonlinear Analysis and its Application 5/1 (01 Mart 2021): 72-81. https://doi.org/10.31197/atnaa.756605.
JAMA
1.Aljaaidi TA, Pachpatte D. New generalization of reverse Minkowski’s inequality for fractional integral. ATNAA. 2021;5:72–81.
MLA
Aljaaidi, Tariq A., ve Deepak Pachpatte. “New generalization of reverse Minkowski’s inequality for fractional integral”. Advances in the Theory of Nonlinear Analysis and its Application, c. 5, sy 1, Mart 2021, ss. 72-81, doi:10.31197/atnaa.756605.
Vancouver
1.Tariq A. Aljaaidi, Deepak Pachpatte. New generalization of reverse Minkowski’s inequality for fractional integral. ATNAA. 01 Mart 2021;5(1):72-81. doi:10.31197/atnaa.756605
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