Hadamard fractional integral
Certain inequalities via generalized proportional Hadamard fractional integral operators
... Theorem 3.1 Let f and h be two positive continuous functions on the interval [1, ∞) and f ≤ h on [1, ∞). If h f is decreasing and f is increasing on [1, ∞), then for a convex function Φ with Φ(0) = 0, the generalized ...
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Some new integral inequalities using Hadamard fractional integral operator
... of fractional Hadamard calculus are given in Kilbas [14] and Samko et ...of Hadamard derivative and integral as given in ...The Hadamard fractional integral of order α ∈ R ...
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Nonlocal Hadamard fractional integral conditions for nonlinear Riemann-Liouville fractional differential equations
... Riemann-Liouville fractional differential equations subject to the Hadamard fractional integral boundary ...Riemann-Liouville fractional differential equation subject to Hadamard ...
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Some new results using Hadamard fractional integral
... between Hadamard and Riemann-liouville fractional integrals as Kernel in the Hadamard integral has the from of ln( x t ) instead of the form of (x − t), which is involves in the Riemann- ...
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On some integral inequalities using Hadamard fractional integral
... studied integral inequalities on fractional calculus using Riemann-Liouville, Caputo derivative, see [3, 5, 6, 7, 8, 9, ...of Hadamard derivative and integral as given in [2, ...
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ON NEW CONFORMABLE FRACTIONAL INTEGRAL INEQUALITIES FOR PRODUCT OF DIFFERENT KINDS OF CONVEXITY
... The fractional integral in (3) coincides with the Riemann-Liouville fractional integral (1) when a = 0 and α = ...the Hadamard fractional integral [9] once a = 0 and α → 0 ...
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Certain inequalities associated with Hadamard k fractional integral operators
... the fractional integral operators developed, due to applications in many fields of sciences, the Riemann-Liouville fractional integral operator and Hadamard fractional ...
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Integral inequalities with ‘maxima’ and their applications to Hadamard type fractional differential equations
... of fractional derivative that appears in the literature is the fractional derivative due to Hadamard, introduced in [], which differs from the Riemann- Liouville and Caputo derivatives in the ...
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New generalized Hermite Hadamard type inequalities and applications to special means
... involving Hadamard fractional integrals for the functions satisfying monotonicity, convexity and s-e-condition are ...left-type Hadamard fractional integral identities including the ...
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Inequalities for \(\mathbb{B}\) convex functions via generalized fractional integral
... Additionally, these hypotheses are valid in our results. Namely, if we get g(x) = x in (23), the inequality returns to (11). Similarly, getting g(x) = x in (24) gives inequality (10). Corollary 2 Hermite–Hadamard ...
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Hadamard k fractional inequalities of Fejér type for GA s convex mappings and applications
... the fractional integral operators that appeared, because of applications in many fields of sciences, the Riemann– Liouville fractional integral operator and Hadamard fractional ...
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Hermite Hadamard type inequalities for the generalized k fractional integral operators
... the function () to define the left-sided and right-sided generalized k-fractional integral operators with respect to another function as follows: Let k, ρ, λ ∈ R + and w ∈ R. Also, let g : [a, b] → R be an ...
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Generalized Hermite Hadamard type inequalities involving fractional integral operators
... In this article, a new general integral identity involving generalized fractional integral operators is established. With the help of this identity new Hermite-Hadamard type inequalities are ...
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Minkowski’s inequality for the AB fractional integral operator
... new integral inequalities by means of classical Hermite–Hadamard inequalities and obtained particular cases of their results with applications to special ...established fractional integral ...
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New conformable fractional integral inequalities of Hermite-Hadamard type for convex functions
... conformable fractional integrals. Through the conformable fractional integral inequalities, we found out some new inequalities of Hermite-Hadamard type for convex functions in a form of ...
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K-fractional integral inequalities of Hadamard type for (h − m)−convex functions
... k−fractional integral inequality of Hadamard type for product of two (h − m)−convex functions and also for the product of (α, h − m)−convex ...
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ON SOME FRACTIONAL INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR r-PREINVEX FUNCTIONS
... This double inequality (1.1) is known in the literature as Hermite–Hadamard in- tegral inequality for convex functions. Both inequalities hold in the reversed di- rection if f is concave.The inequality (1.1) has ...
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New results for boundary value problems of Hadamard-type fractional differential inclusions and integral boundary conditions
... The paper is organized as follows. In Section , we solve a linear Hadamard-type integro- differential boundary value problem and recall some preliminary concepts of multivalued analysis that we need in the sequel. ...
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Some new fractional integral inequalities for exponentially m convex functions via extended generalized Mittag Leffler function
... analysis. Fractional anal- ysis has been studied by many scientists and they have expressed the fractional derivative and integral in different ways with different ...tional integral operator is ...
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Boundary value problem for a class of fractional integro-differential coupled systems with Hadamard fractional calculus and impulses
... of fractional cal- ...the integral and derivative which is now called Riemann–Liouville (R-L) fractional calculus by the Cauchy integral ...important fractional integrals and ...
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