Results 21 to 30 of about 37,785 (206)
Generalizations of Gronwall–Bihari inequalities on time scales [PDF]
Journal of Difference Equations and Applications, 2009 This is a preprint of an article accepted (16/May/2008) for publication in the "Journal of Difference Equations and Applications"; J. Difference Equ. Appl.
Ferreira, R.A.C., Torres, D.F.M.
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Journal of Mathematics and Computer Science, 2022 The classical Gronwall inequality is one of the basic tools in the theory of differential and integral equations. In this paper, a new version of this inequality is presented and extended to differential equations with the generalized Hattaf fractional ...
K. Hattaf, A. A. Mohsen, H. Al-Husseiny
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Controllability results of neutral Caputo fractional functional differential equations
AIMS Mathematics, 2023 In this paper, using the properties of the phase space on infinite delay, generalized Gronwall inequality and fixed point theorems, the existence and controllability results of neutral fractional functional differential equations with multi-term Caputo ...
Qi Wang +3 more
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Continuous dependence of a solution for fractional order Cauchy-type problem
Partial Differential Equations in Applied Mathematics, 2021 In this paper, we consider the generalized Cauchy-type problem involving Hilfer–Hadamard-type fractional derivative for the nonlinear fractional differential equations to study the continuous dependence of a solution on the general order under the ...
Ahmad Y.A. Salamooni, D.D. Pawar
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Finite-time stability of multiterm fractional nonlinear systems with multistate time delay
Advances in Difference Equations, 2021 This work is mainly concentrated on finite-time stability of multiterm fractional system for 0 < α 2 ≤ 1 < α 1 ≤ 2 $0 < \alpha _{2} \leq 1 < \alpha _{1} \leq 2$ with multistate time delay.
G. Arthi, N. Brindha, Yong-Ki Ma
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Concept and application of interval-valued fractional conformable calculus
Alexandria Engineering Journal, 2022 This paper introduces a new concept of Caputo type interval-valued fractional conformable calculus. Based on this, some theorems and properties related to fractional conformable calculus are presented.
Lihong Zhang +3 more
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Journal of Inequalities and Applications, 2023 In this paper, we propose a generalized Gronwall inequality in the context of the ψ -Hilfer proportional fractional derivative. Using Picard’s successive approximation and the definition of Mittag–Leffler functions, we construct the representation ...
W. Sudsutad +4 more
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On abstract Hilfer fractional integrodifferential equations with boundary conditions [PDF]
Arab Journal of Mathematical Sciences, 2020 In this paper, we study a Cauchy-type problem for Hilfer fractional integrodifferential equations with boundary conditions. The existence of solutions for the given problem is proved by applying measure of noncompactness technique in an abstract weighted
Sabri T.M. Thabet +2 more
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Robust finite-time stability of uncertain neutral nonhomogeneous fractional-order systems with time-varying delays [PDF]
Theoretical and Applied Mechanics, 2020 This article addresses the problem of finite-time stability for uncertain neutral nonhomogeneous fractional-order systems with time-varying delays where a stability test procedure is suggested.
Lazarević Mihailo P. +3 more
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Mathematical methods in the applied sciences, 2020 In this paper, a generalized fractional (q, h)–Gronwall inequality is investigated. Based on this inequality, the uniqueness theorem and the finite–time stability criterion of nonlinear fractional delay (q, h)–difference systems are derived.
Feifei Du, Baoguo Jia
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