Results 41 to 50 of about 4,403,877 (318)

Conformable Fractional Cosine Families of Operators

Journal of Mathematical Sciences and Modelling, 2019
In this paper we are concerned with the problem \begin{eqnarray*}\begin{cases} u^{(\alpha)}(t)=Au(t)+f(t,u(t))& t\in [0,T]\\ u(0)=u_0, D^{\alpha}u(0)=u_1\end{cases}\end{eqnarray*}  \begin{eqnarray*}     \begin{cases}     u^{(\alpha)}(t)=Au(t)+f(t,u(t)
L. S. Chadli, Said Melliani, Elomari M'hamed   +2 more
doaj   +1 more source

Existence and controllability results for damped second order impulsive functional differential systems with state-dependent delay [PDF]

Opuscula Mathematica, 2014
In this paper, we investigate the existence and controllability of mild solutions for a damped second order impulsive functional differential equation with state-dependent delay in Banach spaces.
M. Mallika Arjunan, N. Y. Nadaf
doaj   +1 more source

New Outcomes Regarding the Existence of Hilfer Fractional Stochastic Differential Systems via Almost Sectorial Operators

Fractal and Fractional, 2022
In this paper, we focus on the existence of Hilfer fractional stochastic differential systems via almost sectorial operators. The main results are obtained by using the concepts and ideas from fractional calculus, multivalued maps, semigroup theory ...
Sivajiganesan Sivasankar, Ramalingam Udhayakumar   +1 more
doaj   +1 more source

Infant Embryonal CNS Tumors: Molecular Insights and Treatment Considerations for Contemporary Pediatric Neuro‐Oncology

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Embryonal tumors comprise the majority of malignant central nervous system (CNS) neoplasms diagnosed in children under 3 years of age. Compared with their counterparts in older children, these tumors exhibit distinct molecular biology and a more aggressive clinical phenotype, while their management is complicated by the heightened ...
Sudarshawn Damodharan, Mariah Wright‐Nadkarni, Mohamed S. Abdelbaki, Girish Dhall   +3 more
wiley   +1 more source

Assessment of outcome in clinical trials in mild Alzheimer 19s disease: urgent time for a rethink? [PDF]

, 2013
Introduction: A major barrier for clinical trials in Alzheimer's disease is the lack of sensitive clinical endpoints for the early stages. Until recently, regulatory agencies have required demonstration of improvement in two disease domains, cognition ...
McGoldrick, S., Duffy, Fiona, McGoldrick, Susan, Reynish, Emma, Kelly, Fiona, Morrison, Y., Wilson, L., Bennett, Crispin, Wilson, J T Lindsay, Bennett, C., Morrison, Yvonne, Duffy, F., Reynish, E.   +12 more
core  

Early and Differential Diagnosis of Dementia and Mild Cognitive Impairment Design and Cohort Baseline Characteristics of the German Dementia Competence Network [PDF]

, 2009
Background: The German Dementia Competence Network (DCN) has established procedures for standardized multicenter acquisition of clinical, biological and imaging data, for centralized data management, and for the evaluation of new treatments.
Huell, M., Luckhaus, C., Wiltfang, J., Heuser, Isabella, Peters, Oliver, Kornhuber, Johannes, Jessen, F., Ruther, E., Ruether, E., Schmidtke, Klaus, Jahn, H., Seuchter, S.A., Perneczky, R., Schmidtke, K., Gertz, H.J., Froelich, Lutz, Henn, Fritz, Perneczky, R., Hampel, H., Schroeder, J., Rienhoff, Otto, Jessen, Frank, Wolf, Stefanie, Maier, W., Henn, F., Weih, M., Wolf, S., Ruüther, Eckart, Wiltfang, Jens, Kornhuber, J., Weih, Markus, Pantel, J., Seuchter, Susanne A., Pantel, J., Schmidtke, K., Jahn, Holger, Jahn, H., Maier, W., Jessen, F., Peters, O., Maier, Wolfgang, Schroder, J., Heuser, I., Weih, M., Wiltfang, J., Frölich, Lutz, Rienhoff, O., Froelich, L., Luckhaus, Christian, Rienhoff, O., Heuser, I., Ruether, Eckart, Henn, Fritz A., Hampel, Harald, Henn, F., Gertz, Hermann-Josef, Gertz, H. J., Kornhuber, J., Perneczky, Robert, Luckhaus, C., Pantel, Johannes, Frolich, L., Hull, M., Huell, Michael, Hampel, H., Wolf, S., Schroeder, Johannes, Peters, O., Seuchter, S. A., Kornhuber, J;Schmidtke, K;Frölich, L;Perneczky, R;Wolf, S;Hampel, H;Jessen, F;Heuser, I;Peters, O;Weih, M;Jahn, H;Luckhaus, C;Hüll, M;Gertz, HJ;Schröder, J;Pantel, J;Rienhoff, O;Seuchter, SA;Ruther, E;Henn, F;Maier, W;Wiltfang, J, Kornhuber, Johannes;Schmidtke, Klaus;Frölich, Lutz;Perneczky, Robert;Wolf, Stefanie;Hampel, Harald;Jessen, Frank;Heuser, Isabella;Peters, Oliver;Weih, Markus;Jahn, Holger;Luckhaus, Christian;Hüll, Michael;Gertz, Hermann-Josef;Schröder, Johannes;Pantel, Johannes;Rienhoff, Otto;Seuchter, Susanne A.;Rüther, Eckart;Henn, Fritz;Maier, Wolfgang;Wiltfang, Jens   +70 more
core   +1 more source

Neuropsychological and Educational Outcomes in Shwachman–Diamond Syndrome—A Report From the North American Shwachman–Diamond Syndrome Registry

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Shwachman–Diamond syndrome (SDS) is a rare autosomal recessive ribosomopathy characterized by bone marrow failure and multisystem involvement, with emerging evidence of associated neurocognitive impairment. Methods We conducted a retrospective study of 240 individuals with biallelic Shwachman–Bodian–Diamond syndrome (SBDS) mutations
Jane Koo, Melissa Gerstle, Leah Cheng, Richard Cooper, Katherine Coyne, Claire Dusa, Naomi E. Joffe, Diana Schwarz, Sarah Steltz, Akiko Shimamura, Kasiani C. Myers, Thea Quinton   +11 more
wiley   +1 more source

Controllability of Fractional Integro-Differential Equations with Delays and Singular Kernels in Fréchet Spaces

Mathematics
This paper is devoted to the investigation of existence and approximate controllability results for a class of fractional integro-differential equations formulated in Fréchet spaces.
Fatima Mesri, Abdelkrim Salim, Mouffak Benchohra   +2 more
doaj   +1 more source

Topological Structure of Solution Sets of Fractional Control Delay Problem

Fractal and Fractional, 2023
This paper is concerned with the existence of a mild solution for the fractional delay control system. Firstly, we will study the control problem. Then, we will deal with the topological structure of the solution set consisting of the compactness and Rσ ...
Ahmed A. Al Ghafli, Ramsha Shafqat, Azmat Ullah Khan Niazi, Kinda Abuasbeh, Muath Awadalla   +4 more
doaj   +1 more source

Estimates for mild solutions to semilinear Cauchy problems [PDF]

Electronic Journal of Differential Equations, 2014
The existence (and uniqueness) results on mild solutions of the abstract semilinear Cauchy problems in Banach spaces are well known. Following the results of Tartar (2008) and Burazin (2008) in the case of decoupled hyperbolic systems, we give an alternative proof, which enables us to derive an estimate on the mild solution and its time of existence ...
Burazin K., Erceg M.
openaire   +5 more sources