fractional integrals
Discussion of some inequalities via fractional integrals
... Recently, many generalizations and extensions of well-known inequalities were obtained via different kinds of fractional integrals. In this paper, we show that most of those results are particular cases of ...
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On isomorphism implemented by mixed fractional integrals in hölder spaces
... Riemann-Liouville fractional integration operator establishes an isomorphism between Hölder spaces for functions one ...Riemann-Liouville fractional integration operats and mixed fractional ...
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On Generalizations of Hadamard Inequalities for Fractional Integrals
... There in [7] we remark that for k = 1 in above theorems we get the results of [12], and for α = 1 along with k = 1 we get the classical Hadamard inequal- ity. In [8] the following results related to Fej´ er Hadamard-type ...
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ON HERMITE-HADAMARD TYPE INEQUALITIES VIA KATUGAMPOLA FRACTIONAL INTEGRALS
... new fractional integral that generalizes the Riemann- Liouville and the Hadamard fractional integrals in to a single form(see ...Katugampola fractional integrals of order α (> 0) of ...
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Ostrowski type inequalities involving conformable fractional integrals
... There are many results devoted to the well-known Ostrowski inequality. This inequality has many applications in the area of numerical analysis. In this paper, we give results for Ostrowski inequality containing ...
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Boundedness of fractional integrals on weighted Herz spaces with variable exponent
... In this paper we define weighted Herz spaces with variable exponent and prove the boundedness of fractional integrals on those spaces under proper assumptions on weights and exponents. Our argument is based ...
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A Class of Commutators for Multilinear Fractional Integrals in Nonhomogeneous Spaces
... singular integrals and the related operators on Euclidean spaces with Lebesgue measure have been generalized to the Lebesgue spaces with nondoubling measures see 5–10, ...multilinear fractional ...
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A commutator theorem for fractional integrals in spaces of homogeneous type
... singular integrals in Euclidean ...A fractional integral appears as a particular ...for fractional integrals in spaces of homogeneous ...
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Grüss type integral inequalities for generalized Riemann Liouville k fractional integrals
... 17. Krasniqi, V: Inequalities and monotonicity for the ration of k-gamma functions. Sci. Magna 6(1), 40-45 (2010) 18. Mubeen, S, Habibullah, GM: k-Fractional integrals and application. Int. J. Contemp. ...
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Two weighted inequalities for B fractional integrals
... 3 Two weighted inequalities for B-fractional integrals In this section we prove an analog of Heinig’s result for the B-fractional integral Iα,γ f.. Further, the Stein-Weiss inequality fo[r] ...
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Steffensen's integral inequality for conformable fractional integrals
... The results presented here would provide generalizations of those given in earlier works.... Steffensen’s type inequalities for conformable fractional integrals.[r] ...
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On impulsive nonlocal integro initial value problems involving multi order Caputo type generalized fractional derivatives and generalized fractional integrals
... In this paper, we present sufficient criteria ensuring the existence and uniqueness of solutions for nonlinear impulsive multi-order Caputo-type generalized fractional differential equations supplemented with ...
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On Feng Qi-type Integral Inequalities for Conformable Fractional Integrals
... of fractional derivatives were introduced by many authors, most of them are de…ned via fractional integrals, but many of those fractional derivatives have some non-local ...existing ...
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Some Generalized Steffensen’s Inequalities via a New Identity for Local Fractional Integrals
... of fractional calculus and local fractional calculus (also called fractal calculus) in a large variety of problems in mathematical, physical and engineering ...
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EXTENDED FRACTIONAL INTEGRALS, PRODUCTS AND RATIOS OF MATRICES AND STATISTICAL DISTRIBUTIONS
... lead to an extension of (2.11) in terms of k − 1 arbitrary functions and having the structure of Erd´elyi-Kober fractional integral of the second kind. The form in (2.11) is also different from the multivariate ...
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On the Hermite–Hadamard type inequality for ψ Riemann–Liouville fractional integrals via convex functions
... -Riemann–Liouville fractional integrals via convex ...-Riemann–Liouville fractional integral identities including the first order derivative of a given convex function, and these will be used to ...
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ON FUNCTIONAL GENERALIZATION OF OSTROWSKI INEQUALITY FOR CONFORMABLE FRACTIONAL INTEGRALS
... conformable fractional version of the inequality ...conformable fractional derivatives and ...conformable fractional integrals and give some special cases of this ...
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m-Convex functions associated with bounds of k-fractional integrals
... Abstract. In this paper, bounds of Riemann-Liouville k-fractional integrals and bounds of generalized Riemann- Liouville k-fractional integrals have been established. To establish these bounds ...
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Some New Ostrowski Type Inequalities via Fractional Integrals
... Ostrowski Type Inequalities Via Riemann-Liouville Fractional Integrals Ostrowski Inequality. In 1938, the following celebrated inequality was established by Ostrowski [11]. Theorem 1.1. Let f : I −→ R where ...
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Two weight norm inequalities for the rough fractional integrals
... The authors give the weighted Lp , Lq -boundedness of the rough fractional integral operator TΩ,α and the fractional maximal operator MΩ,α with two different weight functions.. 2000 Mathe[r] ...
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