Results 41 to 50 of about 1,618,914 (306)
Mathematical biosciences and engineering : MBE, 2023 This paper considers the stability of a fractional differential equation with multi-point boundary conditions and non-instantaneous integral impulse. Some sufficient conditions for the existence, uniqueness and at least one solution of the aforementioned
Guodong Li +3 more
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On generalized fractional integral inequalities for twice differentiable convex functions
Journal of Computational and Applied Mathematics, 2020 In this article, some new generalized fractional integral inequalities of midpoint and trapezoid type for twice differentiable convex functions are obtained.
P. Mohammed, M. Sarıkaya
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AIMS Mathematics, 2020 The investigation of the proposed methods is effective and convenient for solving the integrodifferential and difference equations. In this note, we introduce the generalized $\mathcal{K}$-fractional integral in terms of a new parameter $\mathcal{K}>0 ...
S. Rashid, M. Noor, K. Noor, Y. Chu
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E. R. LOVE TYPE LEFT FRACTIONAL INTEGRAL INEQUALITIES
Проблемы анализа, 2020 Here first we derive a general reverse Minkowski integral inequality. Then motivated by the work of E. R. Love [4] on integral inequalities we produce general reverse and direct integral inequalities.
G. A. Anastassiou
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Fractal and Fractional, 2019 The main objective of this paper is to obtain the Hermite−Hadamard-type inequalities for exponentially s-convex functions via the Katugampola fractional integral.
Saima Rashid +3 more
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Nonlinear AnalysisThe main aim of this article is to design a novel framework to study a generalized fractional integral operator that unifies two existing fractional integral operators.
Supriya Kumar Paul +2 more
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On generalized fractional integral inequalities for the monotone weighted Chebyshev functionals
Advances in Differential Equations, 2020 In this paper, we establish the generalized Riemann–Liouville (RL) fractional integrals in the sense of another increasing, positive, monotone, and measurable function Ψ.
G. Rahman +3 more
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Generalized proportional fractional integral functional bounds in Minkowski’s inequalities
Advances in Difference Equations, 2021 In this research paper, we improve some fractional integral inequalities of Minkowski-type. Precisely, we use a proportional fractional integral operator with respect to another strictly increasing continuous function ψ.
Tariq A. Aljaaidi +4 more
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Certain new proportional and Hadamard proportional fractional integral inequalities
Journal of Inequalities and Applications, 2021 The main goal of this paper is estimating certain new fractional integral inequalities for the extended Chebyshev functional in the sense of synchronous functions by employing proportional fractional integral (PFI) and Hadamard proportional fractional ...
Gauhar Rahman +2 more
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A fractional calculus on arbitrary time scales: Fractional differentiation and fractional integration [PDF]
Signal Processing, 2015 We introduce a general notion of fractional (noninteger) derivative for functions defined on arbitrary time scales. The basic tools for the time-scale fractional calculus (fractional differentiation and fractional integration) are then developed. As particular cases, one obtains the usual time-scale Hilger derivative when the order of differentiation ...
Nadia Benkhettou +2 more
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