Results 121 to 130 of about 19,938 (283)
A New Approach for the Fractional Rosenau–Hyman Problem by ARA Transform
Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 10970-10977, 30 July 2025.ABSTRACT The primary aim of this research to establish the solution to time fractional Rosenau–Hyman problem (RHP) by utilizing a new approach including ARA transform and Daftardar–Gejji and Jafari iteration method (DGJIM). The fractional derivative is taken in Caputo sense.
Suleyman Cetinkaya, Ali Demir
wiley +1 more source
Riemann–Liouville Operator in Weighted Lp Spaces via the Jacobi Series Expansion
Axioms, 2019 In this paper, we use the orthogonal system of the Jacobi polynomials as a tool to study the Riemann−Liouville fractional integral and derivative operators on a compact of the real axis.
Maksim V. Kukushkin
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Studies on Fractional Differential Equations With Functional Boundary Condition by Inverse Operators
Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 11161-11170, 30 July 2025.ABSTRACT Fractional differential equations (FDEs) generalize classical integer‐order calculus to noninteger orders, enabling the modeling of complex phenomena that classical equations cannot fully capture. Their study has become essential across science, engineering, and mathematics due to their unique ability to describe systems with nonlocal ...
Chenkuan Li
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An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 2019 In this paper, we first establish weighted versions of Hermite-Hadamard typeinequalities for Riemann-Liouville fractional integral operators utilizingweighted function. Then we obtain some refinements of these inequalities.
H. Budak
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A Finite Element Method for the Fractional Sturm-Liouville Problem [PDF]
, 2013 In this work, we propose an efficient finite element method for solving fractional Sturm-Liouville problems involving either the Caputo or Riemann-Liouville derivative of order $\alpha\in(1,2)$ on the unit interval $(0,1)$.
Jin, Bangti +3 more
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Inequalities generated with Riemann-Liouville fractional integral operator
, 2019 Selected papers of International Conference on Life and Engineering Sciences (ICOLES 2018), Kyrenia, Cyprus, 2-6 September, 2018. The primary objective of this study is to handle new generalized midpoint, trapezoid and Simpson’s type inequalities with the help of Riemann-Liouville fractional integral operator.
Gurbuz, M., Ozturk, O.
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MathematicsThe goal of this study is to develop numerous Hermite–Hadamard–Mercer (H–H–M)-type inequalities involving various fractional integral operators, including classical, Riemann–Liouville (R.L), k-Riemann–Liouville (k-R.L), and their generalized fractional ...
Talib Hussain +2 more
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An extension of Schweitzer's inequality to Riemann-Liouville fractional integral
Open MathematicsAbstract This note focuses on establishing a fractional version akin to the Schweitzer inequality, specifically tailored to accommodate the left-sided Riemann-Liouville fractional integral operator. The Schweitzer inequality is a fundamental mathematical expression, and extending it to the fractional realm holds significance in advancing
Abdeljawad, Thabet +3 more
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Riesz potential and Riemann-Liouville fractional integrals and derivatives of Jacobi polynomials
Applied Mathematics Letters, 1997 The main result is given by the following theorem: ``If \(\alpha>-1\), \(\beta>-1 ...
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, 2017 In this paper, we introduce some new concepts to the field of probability theory: $$\left( k,s\right) $$k,s-Riemann–Liouville fractional expectation and variance functions.
Muharrem Tomar, S. Maden, E. Set
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