The method of upper and lower solutions and impulsive fractional differential inclusions
Nonlinear Analysis: Hybrid Systems, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mouffak Benchohra, Samira Hamani
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Impulsive stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay [PDF]
Mathematical Methods in the Applied Sciences, 2016 In this paper, we prove the existence of mild solutions for the following first-order impulsive semilinear stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay in the case where the right hand side is ...
Ahmed Boudaoui +2 more
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Optimality of Non-instantaneous Impulsive Fractional Stochastic Differential Inclusion with fBm
Bulletin of the Malaysian Mathematical Sciences Society, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Balasubramaniam, Pagavathigounder +2 more
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On The Exact Controllability of Impulsive Fractional Semilinear Functional Differential Inclusions
Asian Journal of Control, 2014AbstractIn this paper, we deal with the exact controllability for impulsive fractional semilinear functional differential inclusions in Hilbert spaces. Under suitable assumptions, the exact controllability of the control systems are formulated and proved.
Liu, Zhenhai, Li, Xiuwen
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Mathematical analysis of impulsive fractional differential inclusion of pantograph type
Mathematical Methods in the Applied Sciences, 2022In this article, we formulate fractional differential inclusion of pantograph type (IFDIP), incorporating impulsive behavior of the solution. The boundary conditions taken into account are nonlocal in nature. We will consider the convex problem and prove the Filippov–Wazewski‐type theorem.
Ravi P. Agarwal +2 more
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Some new result for functional fractional differential inclusion with impulse effect
2021Summary: Nonlocal functional fractional differential inclusions with impulses effect in Banach spaces are studied. This paper deals with the case when the multivalued function is lower semicontinuous and nonconvex as well as the linear term generates a semigroup which is not, in general, compact.
Alsarori, Nawal A., Ghadle, Kirtiwant P.
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New Stability Results for Partial Fractional Differential Inclusions with Not Instantaneous Impulses
Fractional Calculus and Applied Analysis, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abbas, Saïd +2 more
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The authors of this paper investigate the topological structure of the solution set to a class of fractional differential inclusions with impulses at variable time). They show that the solution set is an \(R_\delta\)-set under some assumptions. One example is given for illustrating the main results.
Qi Wang, Xiaoyue Li
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Differential Equations and Inclusions of Fractional Order with Impulse Effects in Banach Spaces
Bulletin of the Malaysian Mathematical Sciences Society, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Impulsive Fractional Differential Inclusions with a Nonconvex-valued Multimap in Banach Spaces
Lobachevskii Journal of MathematicsIn this paper, the authors investigate the abstract impulsive semilinear fractional differential inclusions with a nonconvex-valued almost lower semicontinuous nonlinearity and a linear closed operator generating strongly continuous semigroups in separable Banach spaces.
Obukhovskii, V. +2 more
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