Results 31 to 40 of about 25,337 (192)
Mathematica, 2021 The purpose of this paper is to investigate the existence and uniqueness of solutions for a new class of nonlinear fractional differential equations involving Hilfer fractional operator with fractional integral boundary conditions. Our analysis relies on
Abdelatif Boutiara +2 more
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Generalized Hermite-Hadamard Type Inequalities Related to Katugampola Fractional Integrals
OALib, 2020 In this paper, we have established a new identity related to Katugampola fractional integrals which generalize the results given by Topul et al. and Sarikaya and Budak. To obtain our main results, we assume that the absolute value of the derivative of the considered function φ' is p-convex.
Hao Wang
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Hermite–Hadamard-Type Inequalities for
Mathematical Problems in Engineering, 2021 This article is organized as follows: First, definitions, theorems, and other relevant information required to obtain the main results of the article are presented.
Erhan Set, İlker Mumcu
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New Generalized the Hermite-Hadamard Inequality and Related Integral Inequalities Involving Katugampola Type Fractional Integrals [PDF]
Symmetry, 2020 In this paper, a new identity for the generalized fractional integral is defined, through which new integral inequality for functions whose first derivatives in absolute value are convex. The new generalized Hermite-Hadamard inequality for generalized convex function on fractal sets involving Katugampola type fractional integral is established.
Ohud Almutairi, Adem Kılıçman
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Mathematics, 2022 In the last few years, a new class of fractional-order (FO) systems, known as Katugampola FO systems, has been introduced. This class is noteworthy to investigate, as it presents a generalization of the well-known Caputo fractional-order systems. In this
Omar Kahouli +4 more
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An investigation of a new Lyapunov-type inequality for Katugampola–Hilfer fractional BVP with nonlocal and integral boundary conditions [PDF]
Journal of Inequalities and Applications, 2023 In this manuscript, we focus our attention on investigating new Lyapunov-type inequalities (LTIs) for two classes of boundary value problems (BVPs) in the framework of Katugampola–Hilfer fractional derivatives, supplemented by nonlocal, integral, and ...
Sabri T. M. Thabet, Imed Kedim
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$\psi$–Katugampola Fractional Derivatives and Integrals-Application to Mass–Spring Damper System [PDF]
, 2020 We propose a new type of generalized fractional derivatives with respect to (wrt) another function. These new generalized fractional derivatives generalize $\psi$–Caputo, Riemann–Liouville (R–L) wrt another function, Caputo Hadamard wrt another function, R–L Hadamard wrt another function, Caputo, R–L, Caputo Hadamard and R–L Hadamard fractional ...
Ramazan Özarslan +2 more
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AIMS Mathematics, 2021 We use the definition of a fractional integral operators, recently introduced by Katugampola, to establish a parameterized identity associated with differentiable mappings.
Yuping Yu, Hui Lei, Gou Hu, Tingsong Du
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Some new inequalities involving the Katugampola fractional integrals for strongly $\eta$-convex functions [PDF]
Tbilisi Mathematical Journal, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Seth Kermausuor, Eze R. Nwaeze
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AIMS Mathematics, 2020 We use the definition of a fractional integral operators, proposed by Katugampola, to establish a fractional Hermite-Hadamard’s inequality for p-convex mappings and an identity with two parameters.
Gou Hu, Hui Lei, Tingsong Du
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