Results 21 to 30 of about 8,512 (209)
Inequalities Pertaining Fractional Approach through Exponentially Convex Functions
Fractal and Fractional, 2019 In this article, certain Hermite-Hadamard-type inequalities are proven for an exponentially-convex function via Riemann-Liouville fractional integrals that generalize Hermite-Hadamard-type inequalities.
Saima Rashid +2 more
doaj +1 more source
Solution of Singular Integral Equations via Riemann–Liouville Fractional Integrals
Mathematical Problems in Engineering, 2020 In this attempt, we introduce a new technique to solve main generalized Abel’s integral equations and generalized weakly singular Volterra integral equations analytically. This technique is based on the Adomian decomposition method, Laplace transform method, andΨ-Riemann–Liouville fractional integrals.
Manar A. Alqudah +2 more
openaire +1 more source
Axioms, 2023 The primary intent of this study is to establish some important inequalities of the Hermite–Hadamard, trapezoid, and midpoint types under fractional extended Riemann–Liouville integrals (FERLIs).
Abd-Allah Hyder +2 more
doaj +1 more source
New general integral inequalities for some GA-convex and quasi-geometrically convex functions via fractional integrals [PDF]
, 2013 In this paper, the author introduces the concept of the quasi-geometrically convex and defines a new identity for fractional integrals. By using of this identity, author obtains new estimates on generalization of Hadamard, Ostrowski and Simpson type ...
Iscan, Imdat
core +2 more sources
Unified treatment of fractional integral inequalities via linear functionals [PDF]
, 2016 In the paper we prove several inequalities involving two isotonic linear functionals. We consider inequalities for functions with variable bounds, for Lipschitz and H\" older type functions etc.
Bombardelli, Mea +2 more
core +2 more sources
Riemann–Liouville Fractional Newton’s Type Inequalities for Differentiable Convex Functions
Fractal and Fractional, 2022 In this paper, we prove some new Newton’s type inequalities for differentiable convex functions through the well-known Riemann–Liouville fractional integrals.
Thanin Sitthiwirattham +3 more
doaj +1 more source
Compactness of Riemann–Liouville fractional integral operators
Electronic Journal of Qualitative Theory of Differential Equations, 2020 Summary: We obtain results on compactness of two linear Hammerstein integral operators with singularities, and apply the results to give new proof that Riemann-Liouville fractional integral operators of order \(\alpha\in (0,1)\) map \(L^{p}(0,1)\) to \(C[0,1]\) and are compact for each \(p\in \bigl(\frac{1}{1-\alpha},\infty\bigr]\).
openaire +3 more sources
SOME PROPERTIES OF k-RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATOR
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES, 2023 In this paper we will introduce some properties of k- Riemann Liouville fractional integral operator involving convolution property. The fractional derivative of k- Riemann Liouville fractional integral operator of integral transforms will be obtained. Applications of this operator will be introduced.
Prajapat, Radhe Shyam, Bapna, Indu Bala
openaire +1 more source
Boundary Value Problems, 2023 In this paper, new generalized weighted fractional derivatives with respect to another function are derived in the sense of Caputo and Riemann–Liouville involving a new modified version of a generalized Mittag–Leffler function with three parameters, as ...
Sabri T. M. Thabet +3 more
doaj +1 more source
Assembling classical and dynamic inequalities accumulated on calculus of time scales
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2020 In this paper, we present an extension of dynamic Renyi’s inequality on time scales by using the time scale Riemann–Liouville type fractional integral. Furthermore, we find generalizations of the well–known Lyapunov’s inequality and Radon’s inequality on
Sahir, M.J.S.
doaj +1 more source