Results 21 to 30 of about 145 (127)
On the nonlocal Katugampola fractional integral conditions for fractional Langevin equation [PDF]
Advances in Difference Equations, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Thaiprayoon, Chatthai +2 more
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Advances in Difference Equations, 2020 In this research article, we establish some Hermite–Hadamard type inequalities for tgs $tgs$-convex functions via Katugampola fractional integrals and ψ-Riemann–Liouville fractional integrals.
Naila Mehreen, Matloob Anwar
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Advances in Difference Equations, 2020 The primary objective of this present paper is to establish certain new weighted fractional Pólya–Szegö and Chebyshev type integral inequalities by employing the generalized weighted fractional integral involving another function Ψ in the kernel.
Kottakkaran Sooppy Nisar +4 more
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Katugampola Fractional Differential Equation with Erdelyi-Kober Integral Boundary Conditions
Advances in the Theory of Nonlinear Analysis and its Application, 2021 In this paper, we study the existence and uniqueness of solutions for nonlinear fractional Katugampola differential equation with Erdely-Kober fractional integral conditions, new existence and uniqueness results are established using Banach's contraction principle, nonlinear contractions, Krasnoselskii's and Leray-Schauder's fixed theorems.
Naas ADJİMİ, Maamar BENBACHIR
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Fractional-order boundary value problems with Katugampola fractional integral conditions [PDF]
Advances in Difference Equations, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nazim I. Mahmudov, Sedef Emin
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Certain fractional integral inequalities using generalized Katugampola fractional integral operator
Malaya Journal of Matematik, 2020 The purpose of this paper is to obtain some new fractional integral inequalities involving convex functions by applying generalized Katugampola fractional integral operator.
null Asha B. Nale +2 more
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New generalized Pólya–Szegö and Čebyšev type inequalities with general kernel and measure
Advances in Difference Equations, 2020 It is always attractive and motivating to acquire the generalizations of known results. In this article, we introduce a new class C ( h ) $\mathfrak{C(h)}$ of functions which can be represented in a form of integral transforms involving general kernel ...
S. Iqbal +5 more
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A Comprehensive Review on the Fejér-Type Inequality Pertaining to Fractional Integral Operators
Axioms, 2023 A review of the results on the fractional Fejér-type inequalities, associated with different families of convexities and different kinds of fractional integrals, is presented.
Muhammad Tariq +2 more
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Integral Inequalities for s-Convexity via Generalized Fractional Integrals on Fractal Sets
Mathematics, 2020 In this study, we establish new integral inequalities of the Hermite−Hadamard type for s-convexity via the Katugampola fractional integral. This generalizes the Hadamard fractional integrals and Riemann−Liouville into a single form.
Ohud Almutairi, Adem Kılıçman
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Journal of Mathematics, 2020 In this present article, we establish certain new Pólya–Szegö-type tempered fractional integral inequalities by considering the generalized tempered fractional integral concerning another function Ψ in the kernel. We then prove certain new Chebyshev-type
Gauhar Rahman +3 more
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