Results 11 to 20 of about 149,154 (261)
Mathematical Modelling and AnalysisThis paper deals with the study of terminal value problem for the system of fractional differential equations with Caputo derivative. Additional conditions are imposed on the solutions of this problem in the form of a linear vector functional. Using the
Oleksandr Boichuk, Viktor Feruk
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A Boundary Value Problem of Terminal Control with a Quadratic Criterion of Quality
Известия Иркутского государственного университета: Серия "Математика", 2014 In a Hilbert space, we consider the problem of terminal control with linear dynamics, fixed left end and moving right end of the trajectories. On the reachability set (under additional linear constraints) the objective functional as the sum of integral ...
A.S. Antipin, E.V. Khoroshilova
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On initial and terminal value problems for fractional nonclassical diffusion equations [PDF]
Proceedings of the American Mathematical Society, 2020 In this paper, we consider fractional nonclassical diffusion equations under two forms: initial value problem and terminal value problem. For an initial value problem, we study local existence, uniqueness, and continuous dependence of the mild solution.
NGuyen, Huy Tuan +1 more
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A non-polynomial collocation method for fractional terminal value problems [PDF]
AIP Conference Proceedings, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Neville J. Ford +2 more
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Nonlinear higher order fractional terminal value problems
AIMS Mathematics, 2022 تتم دراسة مشاكل القيمة النهائية لأنظمة المعادلات التفاضلية الكسرية مع التركيز بشكل خاص على الأنظمة ذات الترتيب الأعلى. تُستخدم طرق التجميع متعدد الحدود المقطعة بالقطعة لتقريب الحل الدقيق. وهذا يؤدي إلى حل نظام من المعادلات غير الخطية. لحل مثل هذا النظام، يتم تقديم طريقة تكرارية ذات تفاوت مطلوب وتحليلها.
Dumitru Băleanu +5 more
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Terminal value problems of fractional evolution equations
Journal of Integral Equations and Applications, 2020 The authors study the terminal value problems for a class of nonlinear fractional evolution equations with Weyl-Liouville derivative. It is claimed that by using the Fourier transform, the problem is converted into a singular integral equation on infinite interval and this integral equation is termed as mild solution of the fractional differential ...
Zhang, Lu, Zhou, Yong, Samet, Bessem
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Terminal Value Problems with Causal Operators
Hacettepe Journal of Mathematics and Statistics, 2018 The well-known techniques of monotone iterative have been investigated and expanded for the causal terminal value problem (CTVP). This method construct the monotone sequences of the solutions of linear CTVPs by using the upper and lower solutions. Moreover, these sequence of functions are uniformly and monotonically converge to the extremal solutions ...
YAKAR, Coşkun, ARSLAN, Mehmet
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Terminal Value Problem for Differential Equations with Hilfer–Katugampola Fractional Derivative [PDF]
Symmetry, 2019 We present in this work the existence results and uniqueness of solutions for a class of boundary value problems of terminal type for fractional differential equations with the Hilfer–Katugampola fractional derivative. The reasoning is mainly based upon different types of classical fixed point theory such as the Banach contraction principle and ...
Mouffak Benchohra +2 more
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On initial value and terminal value problems for subdiffusive stochastic Rayleigh-Stokes equation
Discrete and Continuous Dynamical Systems - B, 2021 In this paper, we study two stochastic problems for time-fractional RayleighStokes equation including the initial value problem and the terminal value problem. Here, two problems are perturbed by Wiener process, the fractional derivative are taken in the sense of Riemann-Liouville, the source function and the time-spatial noise are nonlinear and ...
Caraballo Garrido, Tomás +3 more
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Inequalities for terminal value problems for differential equations
Tamkang Journal of Mathematics, 2002 The aim of the present paper is to establish some new integral inequalities which provide explicit bounds on unknown functions. The inequalities given here can be used as handy tools in the study of terminal value problems for certain differential equations.
Pachpatte, S. B., Pachpatte, B. G.
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