Results 11 to 20 of about 37,785 (206)
A generalized Gronwall inequality and its application to a fractional differential equation
Journal of Mathematical Analysis and Applications, 2007 The authors prove a statement about a Gronwall type inequality in the following form. Let \(\beta >0, a(t)\) be a nonnegative function locally integrable on \([0,T), \;T\leq\infty\), and \(g(t)\) be a nonnegative nondecreasing bounded continuous function on \([0,T)\).
Haiping Ye, Jianming Gao, Yongsheng Ding
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Generalized Gronwall inequalities and their applications to fractional differential equations [PDF]
Journal of Inequalities and Applications, 2013 In this paper, we provide several generalizations of the Gronwall inequality and present their applications to prove the uniqueness of solutions for fractional differential equations with various derivatives.MSC:26A33, 34A08.
Shi-you Lin
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On generalized fractional operators and a gronwall type inequality with applications
Filomat, 2017 In this paper, we obtain the Gronwall type inequality for generalized fractional operators unifying Riemann-Liouville and Hadamard fractional operators. We apply this inequality to the dependence of the solution of differential equations, involving generalized fractional derivatives, on both the order and the initial conditions.
Y. Adjabi, F. Jarad, T. Abdeljawad
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A Generalized Nonlinear Gronwall-Bellman Inequality with Maxima in Two Variables [PDF]
Journal of Applied Mathematics, 2013 This paper deals with a generalized form of nonlinear retarded Gronwall-Bellman type integral inequality in which the maximum of the unknown function of two variables is involved.
Yong Yan
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Some new generalized result of Gronwall-Bellman-Bihari type inequality with some singularity
Filomat, 2020 The aim purpose of the present work is to investigate some new nonlinear Gronwall-BellmanBihari type inequalities with singular kernel via k-fractional integral of Riemann-Liouville.
D. Foukrach, B. Meftah
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Journal of Inequalities and Applications, 2021 In this research, we first investigate the existence of solutions for a new fractional boundary value problem in the Liouville–Caputo setting with mixed integro-derivative boundary conditions.
H. Mohammadi +3 more
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Fractal and Fractional, 2023 Variable-order fractional discrete calculus is a new and unexplored part of calculus that provides extraordinary capabilities for simulating multidisciplinary processes. Recognizing this incredible potential, the scientific community has been researching
Tareq Hamadneh +5 more
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Linear generalizations of Gronwall’s inequality [PDF]
Proceedings of the American Mathematical Society, 1976 A variety of linear generalizations of Gronwall's inequality, including recent multivariable results of D. R. Snow and E. C. Young, are subsumed and extended by simple arguments involving the resolvent kernel of the integral operator.
Chandra, Jagdish, Davis, Paul W.
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Finite-time stability of q-fractional damped difference systems with time delay
AIMS Mathematics, 2021 In this paper, we investigate and obtain a new discrete q-fractional version of the Gronwall inequality. As applications, we consider the existence and uniqueness of the solution of q-fractional damped difference systems with time delay.
Jingfeng Wang, Chuanzhi Bai
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, 2021 The main intention of the present research study is focused on the analysis of a Caputo fractional integro-differential boundary problem (CFBVP) in which the right-hand side of supposed differential equation is represented as a sum of two nonlinear terms.
S. Rezapour +4 more
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