The analytical solution of Van der Pol and Lienard differential equations within conformable fractional operator by retarded integral inequalities [PDF]
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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The Minkowski inequality involving generalized k-fractional conformable integral
Journal of Inequalities and Applications, 2019 In the research paper, the authors exploit the definition of a new class of fractional integral operators, recently proposed by Jarad et al. (Adv. Differ. Equ.
Shahid Mubeen +2 more
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Some Improvements of Conformable Fractional Integral Inequalities
International Journal of Analysis and Applications, 2017 In this study, we wish to set up and present some new conformable fractional integral inequalities of the Gronwall type which have a great variety of implementation area in differential and integral equations.
Fuat Usta, Mehmet Zeki Sarıkaya
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Ostrowski type inequalities involving conformable fractional integrals [PDF]
Journal of Inequalities and Applications, 2018 En el artículo, establecemos varias desigualdades de tipo Ostrowski que involucran las integrales fraccionarias conformables. Como aplicaciones, encontramos nuevas desigualdades para las medias aritméticas y logarítmicas generalizadas.
Muhammad Adil Khan +3 more
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Taylor's formula and integral inequalities for conformable fractional derivatives [PDF]
, 2014 17 ...
Douglas R. Anderson
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On Some Milne–Mercer-Type Inequalities via Atangana–Baleanu Conformable Fractional Integrals for h-Convex Functions [PDF]
MathematicsIn this paper, we establish new Milne–Mercer-type inequalities via Atangana–Baleanu conformable fractional integral operators for differentiable functions whose derivatives in absolute value are h-convex.
Jen Chieh Lo
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Error estimates for perturbed Milne-type inequalities by twice-differentiable functions using conformable fractional integrals [PDF]
Boundary Value ProblemsMilne’s inequality provides an upper bound for the error in definite integral approximations using Milne’s rule, making it a useful tool for evaluating the rule’s precision.
Esra Üneş, İzzettin Demir
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Opial-type inequalities for conformable fractional integrals
Journal of Applied Analysis, 2019 Abstract In this paper, we establish the Opial-type inequalities for a conformable fractional integral and give some results in special cases of α. The results presented here would provide generalizations of those given in earlier works.
Mehmet Zeki Sarıkaya, Hüseyin Budak
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Chebyshev type inequalities for conformable fractional integrals [PDF]
Miskolc Mathematical Notes, 2019 In this article, firstly some necessary definitions and results involving fractional integrals are given. Secondly, a new identity involving conformable fractional integrals is given. Then, by using this identity, we establish new Chebyshev inequalities for the Chebyshev functional via conformable fractional integral.
Erhan Set +2 more
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Chebyshev type inequalities via generalized fractional conformable integrals [PDF]
Journal of Inequalities and Applications, 2019 Our aim in this present paper is to establish several Chebyshev type inequalities involving generalized fractional conformable integral operator recently introduced by T.U. Khan and M.A. Khan (J. Comput. Appl. Math. 346:378–389, 2019).
Kottakkaran Sooppy Nisar +2 more
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