Hermite–Hadamard type inequalities for conformable fractional integrals
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Muhammad Adil Khan +3 more
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On generalization conformable fractional integral inequalities
The main issues addressed in this paper are making generalization of Gronwall, Volterra and Pachpatte type inequalities for conformable differential equations. By using the Katugampola definition for conformable calculus we found some upper and lower bound for integral inequalities.
Fuat Usta, Mehmet Zeki Sarıkaya
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Certain Chebyshev-Type Inequalities Involving Fractional Conformable Integral Operators
Since an interesting functional by P.L. Chebyshev was presented in the year 1882, many results, which are called Chebyshev-type inequalities, have been established. Some of these inequalities were obtained by using fractional integral operators.
Gauhar Rahman +4 more
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On new integral inequalities using mixed conformable fractional integrals
Summary: During the past two decades or so, fractional integral operators have been one of the most important tools in the development of inequalities theory. By this means, a lot generalized intergral inequalities involving various the fractional integral operators have been presented in the literature.
Barış Çelik, Erhan Set
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Milne's Estimates via Conformable Fractional Multiplicative Integrals
This paper explores Milne’s inequality in the context of multiplicative conformable fractional integrals, a recent extension of classical fractional calculus rooted in non-Newtonian analysis. Leveraging recent developments in multiplicative calculus, we establish a new fundamental identity that underpins the derivation of Milne-type inequalities for ...
Abdelghani Lakhdari +3 more
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Some Inequalities of Čebyšev Type for Conformable k-Fractional Integral Operators [PDF]
In the article, the authors present several inequalities of the Čebyšev type for conformable k-fractional integral operators.
Kottakkaran Sooppy Nisar +2 more
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On multiplicative conformable fractional integrals: theory and applications [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hüseyin Budak, Büşra Betül Ergün
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New Conformable Fractional Integral Inequalities of Hermite–Hadamard Type for Convex Functions [PDF]
P O Mohammed +2 more
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Conformable fractional integrals and related new integral inequalities
In the present note, we have given the definition of conformable fractional integrals and some further properties. In the second part, we have established some Gruss type integral inequalities by using the bounded functions and Lipschitzian mappings via conformable fractional integrals.
Akdemir A.O. +5 more
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Some new inequalities for generalized fractional conformable integral operators [PDF]
The present paper aims to establish certain new classes of integral inequalities for a class of n ( n∈N $n\in \mathbb{N}$) positive continuous and decreasing functions by utilizing the generalized fractional conformable integral operators (FCIO) recently
Kottakkaran Sooppy Nisar +2 more
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