UPPER AND LOWER SOLUTION METHODS FOR IMPULSIVE CAPUTO–HADAMARD FRACTIONAL DIFFERENTIAL INCLUSIONS
Rocky Mountain Journal of Mathematics, 2023 The paper deals with the initial value problem for the Caputo-Hadamard fractional differential inclusion with impulses \[ \left\{\begin{array}{l} ^{CH}D^ry(t)\in F(t,y(t)),\text{ for a.e. }t\in J=[a,T],\,\,t\not=t_k,\,\,k=1,\ldots,m,\\ \Delta y|_{t=t_k}=I_k(y(t_k^-)),\,\,\,k=1,\ldots,m,\\ \Delta y'|_{t=t_k}=\overline{I}_k(y(t_k^-)),\,\,\,k=1,\ldots,m,\\
Farida Belhannache +2 more
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Nonlinear Analysis, 2018 In this paper, we study a new class of nonlocal problems for noninstantaneous impulsive Hilfer-type fractional differential switched inclusions in Banach spaces.
JinRong Wang +2 more
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On noncompact fractional order differential inclusions with generalized boundary condition and impulses in a Banach space [PDF]
, 2015 We provide existence results for a fractional differential inclusion with nonlocal conditions and impulses in a reflexive Banach space. We apply a technique based on weak topology to avoid any kind of compactness assumption on the nonlinear term.
Benedetti, Irene +2 more
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Spin Transition of Iron in Deep‐Mantle Ferromagnesite
Geophysical Monograph Series, Page 115-125., 2020 This book is Open Access. A digital copy can be downloaded for free from Wiley Online Library.
Explores the behavior of carbon in minerals, melts, and fluids under extreme conditions
Carbon trapped in diamonds and carbonate-bearing rocks in subduction zones are examples of the continuing exchange of substantial carbon ...
Jiachao Liu, Suyu Fu, Jung‐Fu Lin
wiley +2 more sources
Periodic boundary value problems for nonlinear impulsive fractional differential equation [PDF]
, 2011 In this paper, we investigate the existence and uniqueness of solution of the periodic boundary value problem for nonlinear impulsive fractional differential equation involving Riemann-Liouville fractional derivative by using Banach contraction ...
Bai, Chuanzhi, Wang, Xiaojing
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Fractal and Fractional, 2023 In this study, the multivalued fixed point theorem, Clarke subdifferential properties, fractional calculus, and stochastic analysis are used to arrive at the system’s mild solution (1). Furthermore, the mean square moment for the aforementioned system (1)
Dimplekumar Chalishajar +3 more
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Approximate controllability of impulsive Hilfer fractional differential inclusions
The Journal of Nonlinear Sciences and Applications, 2017 Summary: In this paper, firstly by utilizing the theory of operators semigroup, probability density functions via impulsive conditions, we establish a new \(PC_{1-\nu}\)-mild solution for impulsive Hilfer fractional differential inclusions. Secondly we prove the existence of mild solutions for the impulsive Hilfer fractional differential inclusions by ...
Du, Jun +2 more
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Existence, uniqueness and stability of fractional impulsive functional differential inclusions
São Paulo Journal of Mathematical Sciences, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. Vanterler da C. Sousa +1 more
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New Trends on Nonlocal and Functional Boundary Value Problems [PDF]
, 2013 In the last decades, boundary value problems with nonlocal and functional boundary conditions have become a rapidly growing area of research. The study of this type of problems not only has a theoretical interest that includes a huge variety of ...
Infante, Gennaro +2 more
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Advances in Difference Equations, 2021 In this paper, we prove two results concerning the existence of S-asymptotically ω-periodic solutions for non-instantaneous impulsive semilinear differential inclusions of order 1 < α < 2 ...
Zainab Alsheekhhussain +2 more
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