Ostrowski type inequalities involving conformable fractional integrals [PDF]
Journal of Inequalities and Applications, 2018 In the article, we establish several Ostrowski type inequalities involving the conformable fractional integrals. As applications, we find new inequalities for the arithmetic and generalized logarithmic means.
Muhammad Adil Khan +3 more
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On multiplicative conformable fractional integrals: theory and applications [PDF]
Boundary Value ProblemsIn this paper, we first introduce the multiplicative conformable left and right fractional integrals, followed by the derivation of key properties, such as integrability, boundedness, continuity, and the semi-group property, for the newly defined ...
Hüseyin Budak, Büşra Betül Ergün
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Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations [PDF]
Journal of Function Spaces, 2018 We prove new Hermite-Hadamard inequalities for conformable fractional integrals by using convex function, s-convex, and coordinate convex functions. We prove new Montgomery identity and by using this identity we obtain generalized Hermite-Hadamard type ...
Muhammad Adil Khan +4 more
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On results of parameterized inequalities associated with conformable fractional integrals
Miskolc Mathematical NotesIn the present article, an equality is established for the case of differentiable convex functions associated with the conformable fractional integrals.
Hüseyin Budak +2 more
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Generalization of Hermite-Hadamard Type Inequalities via Conformable Fractional Integrals
Journal of Function Spaces, 2018 We establish a Hermite-Hadamard type identity and several new Hermite-Hadamard type inequalities for conformable fractional integrals and present their applications to special bivariate means.
Muhammad Adil Khan +3 more
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Bullen-type inequalities for twice-differentiable functions by using conformable fractional integrals [PDF]
Journal of Inequalities and ApplicationsIn this paper, we prove an equality for twice-differentiable convex functions involving the conformable fractional integrals. Moreover, several Bullen-type inequalities are established for twice-differentiable functions.
Fatih Hezenci, Hüseyin Budak
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Demonstratio Mathematica, 2019 In this study we introduced and tested retarded conformable fractional integral inequalities utilizing non-integer order derivatives and integrals. In line with this purpose, we used the Katugampola type conformable fractional calculus which has several ...
Usta Fuat, Sarıkaya Mehmet Zeki
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On Some Special Functions for Conformable Fractional Integrals [PDF]
, 2020 In this paper, we introduce the (α,k)-gamma function, (α,k)-beta function, Pochhammer symbol (x)αn,k and Laplace transforms for conformable fractional integrals. We prove several properties generalizing those satisfied by the classical gamma function, beta function and Pochhammer symbol. The results presented here would provide generalizations of those
SARIKAYA, Mehmet Zeki +4 more
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Certain Chebyshev-Type Inequalities Involving Fractional Conformable Integral Operators
Mathematics, 2019 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 Feng Qi-type Integral Inequalities for Conformable Fractional Integrals
, 2016 In this paper, we establish the generalized Qi-type inequality involving conformable fractional integrals. The results presented here would provide extensions of those given in earlier works.
Abdullah AKKURT +2 more
openaire +3 more sources