Results 61 to 70 of about 130,230 (316)
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
wiley +1 more source
Keterbatasan Operator Integral Tentu Dan Operator Riemann-Liouville Di Ruang Lebesgue Terboboti [PDF]
, 2011 Paper ini membahas keterbatasan operator integral tentu dan perumumannya yang kemudian disebut operator Riemann-Liouville di ruang Lebesgue terboboti. Dalam hal ini, pembuktian keterbatasan operator-operator tersebut menggunakan ketaksamaan Holder dan ...
Cicik, Alfiniyah
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Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
wiley +1 more source
Journal of Mathematics, 2020 In this paper, certain Hermite–Hadamard–Mercer-type inequalities are proved via Riemann–-Liouville fractional integral operators. We established several new variants of Hermite–Hadamard’s inequalities for Riemann–Liouville fractional integral operators ...
Qiong Kang +5 more
doaj +1 more source
Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
wiley +1 more source
A Short Journey Through the Riemann Integral [PDF]
, 2014 An introductory-level theory of integration was studied, focusing primarily on the well-known Riemann integral and ending with the Lebesgue integral. An examination of the Riemann integral\u27s basic properties and necessary conditions shows that this ...
Keyton, Jesse
core +1 more source
Role of Sleep Disturbances and Diabetes‐Related Distress on Glycemic Control: A Path Analysis
Research in Nursing &Health, EarlyView.ABSTRACT Despite advancements in diabetes management technology, many patients with type 2 diabetes (T2D) struggle to achieve optimal glycemic control. Sleep disorders such as obstructive sleep apnea (OSA) and insomnia are common in T2D and linked to poor glycemic control. Insomnia, particularly with short sleep duration, may worsen glycemic control by
Bomin Jeon +2 more
wiley +1 more source
Approximating the Riemann-Stieltjes Integral via Some Moments of the Integrand [PDF]
, 2007 Error bounds in approximating the Riemann-Stieltjes integral in terms of some moments of the integrand are given. Applications for p-convex functions and in approximating the Finite Foureir Transform are pointed out as ...
Cerone, Pietro, Dragomir, Sever S
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Hermite-Hadamard type inequalities, convex stochastic processes and Katugampola fractional integral
Revista Integración, 2018 In this work we present some Hermite-Hadamard type inequalities for convex Stochastic Processes using the Katugampola fractional integral, and from these results specific cases are deduced for the Riemann-Liouville fractional integral and Riemann ...
Jorge E. Hernández H. +1 more
doaj
Riemann Integral on Fractal Structures
MathematicsIn this work we start developing a Riemann-type integration theory on spaces which are equipped with a fractal structure. These topological structures have a recursive nature, which allows us to guarantee a good approximation to the true value of a ...
José Fulgencio Gálvez-Rodríguez +2 more
doaj +1 more source