Results 81 to 90 of about 12,832 (159)
Asymptotic Expansions of Fractional Derivatives andTheir Applications
Mathematics, 2015 We compare the Riemann–Liouville fractional integral (fI) of a function f(z)with the Liouville fI of the same function and show that there are cases in which theasymptotic expansion of the former is obtained from those of the latter and the differenceof ...
Tohru Morita, Ken-ichi Sato
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Abstract and Applied Analysis, 2013 We study the existence and uniqueness of the positive solution for the fractional differential system involving the Riemann-Stieltjes integral boundary conditions , , , , , and , where , , and and are the standard Riemann-Liouville derivatives, and ...
Rui Li, Haoqian Zhang, Hao Tao
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Some post quantum Milne type inequalities with simulation
Ain Shams Engineering JournalPost quantum Milne-type inequalities involving the Riemann-Liouville fractional integral offer mathematical frameworks for evaluating and bounding quantum states and for addressing modern challenges in applied mathematics and physics.
Sobia Rafeeq +2 more
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Abstract and Applied Analysis, 2014 Some Gronwall-Bellman-Gamidov type integral inequalities with power nonlinearity and their weakly singular analogues are established, which can give the explicit bound on solution of a class of nonlinear fractional integral equations.
Kelong Cheng, Chunxiang Guo, Min Tang
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Journal of Inequalities and Applications, 2019 In the paper, the authors establish some generalized fractional integral inequalities of the Hermite–Hadamard type for (α,m) $(\alpha,m)$-convex functions, show that one can find some Riemann–Liouville fractional integral inequalities and classical ...
Feng Qi +3 more
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On Some Generalized Fractional Integral Inequalities for p-Convex Functions
Fractal and Fractional, 2019 In this paper, firstly we have established a new generalization of Hermite−Hadamard inequality via p-convex function and fractional integral operators which generalize the Riemann−Liouville fractional integral operators introduced by Raina ...
Seren Salaş +3 more
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Fractional Calculus for Type 2 Interval-Valued Functions
Fractal and FractionalThis paper presents a contemporary introduction of fractional calculus for Type 2 interval-valued functions. Type 2 interval uncertainty involves interval uncertainty with the goal of more assembled perception with reference to impreciseness.
Mostafijur Rahaman +5 more
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Journal of Inequalities and ApplicationsThis paper presents an efficient numerical method for solving variable-order fractional differential equations (VO-FDEs) by using the fractional-order Chelyshkov functions (FCHFs).
M. S. Al-Sharif +2 more
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Some new k-Riemann-Liouville fractional integral inequalities associated with the strongly η-quasiconvex functions with modulus μ≥0. [PDF]
J Inequal Appl, 2018 Nwaeze ER, Kermausuor S, Tameru AM.
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New Integral Inequalities in Quantum Calculus
International Journal of Analysis and Applications, 2015 In this paper, we study the q-analogue of Klamkin-McLenaghan's and Grueb-Reinboldt's inequalities then we use the Riemann-Liouville fractional q-integral to get some new integral results.
Kamel Brahim, Sabrina Taf, Bochra Nefzi
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