Results 61 to 70 of about 2,623 (193)

A Note on the Existence and Optimal Control of Atangana–Baleanu Fractional Stochastic Integrodifferential System With Noninstantaneous Impulses

Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2595-2611, November/December 2025.
Optimal Control of AB Caputo Fractional Stochastic Integrodifferential Control System with Noninstantaneous Impulses. ABSTRACT This study is concerned with the existence of mild solution and optimal control for the Atangana–Baleanu fractional stochastic integrodifferential system with noninstantaneous impulses in Hilbert spaces. We verify the existence
Murugesan Johnson, Velusamy Vijayakumar, Kiwoon Kwon   +2 more
wiley   +1 more source

Controllability of Hilfer fractional Langevin evolution equations

Frontiers in Applied Mathematics and Statistics, 2023
The existence of fractional evolution equations has attracted a growing interest in recent years. The mild solution of fractional evolution equations constructed by a probability density function was first introduced by El-Borai.
Haihua Wang, Junhua Ku
doaj   +1 more source

Stationarity-conservation laws for certain linear fractional differential equations

, 2001
The Leibniz rule for fractional Riemann-Liouville derivative is studied in algebra of functions defined by Laplace convolution. This algebra and the derived Leibniz rule are used in construction of explicit form of stationary-conserved currents for ...
Douglas J F, Hilfer R, Hilfer R, Hilfer R, Klimek M, Malgorzata Klimek, Miller K S, Nigmatullin R R, Oldham K B, Osler T J, Osler T J, Osler T J, Podlubny I, Samko S G, Schiessel H, Takahashi Y, Zavada P   +16 more
core   +2 more sources

FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS AND Ψ–HILFER FRACTIONAL DERIVATIVE

Mathematical Modelling and Analysis, 2019
Considering a fractional integro-differential equation with nonlocal conditions involving a general form of Hilfer fractional derivative with respect to another function. We show that weighted Cauchy-type problem is equivalent to a Volterra integral equation, we also prove the existence, uniqueness of solutions and Ulam-Hyers stability of this problem ...
Mohammed S. Abdo, Satish K. Panchal, Hussein S. Hussein   +2 more
openaire   +5 more sources

Qualitative Analysis of Coupled Fractional Differential Equations involving Hilfer Derivative

Analele Universitatii "Ovidius" Constanta - Seria Matematica, 2022
Abstract In this manuscript, we have studied the coupled system of Hilfer fractional differential equations with non-local conditions. We have used the Leray-alternative Schauder’s and the Contraction principle to obtain the results on the existence and uniqueness of the solution of the proposed problem in the weighted space of ...
Dhawan Kanika, Vats Ramesh Kumar, Agarwal Ravi P.   +2 more
openaire   +2 more sources

Optimal Control Strategies and Continuous Dependence for Stochastic Hilfer Fractional Systems With Delay: A Volterra‐Fredholm Integro‐Differential Approach

Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2708-2726, November/December 2025.
The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja, V. Vijayakumar, Chun‐Wei Tsai, Kalyana Chakravarthy Veluvolu   +3 more
wiley   +1 more source

Existence and Stability for Fractional Differential Equations with a ψ–Hilfer Fractional Derivative in the Caputo Sense

Mathematics
This article aims to explore the existence and stability of solutions to differential equations involving a ψ-Hilfer fractional derivative in the Caputo sense, which, compared to classical ψ-Hilfer fractional derivatives (in the Riemann–Liouville sense),
Wenchang He, Yuhang Jin, Luyao Wang, Ning Cai, Jia Mu   +4 more
doaj   +1 more source

Existence of mild solutions for Sobolev-type Hilfer fractional evolution equations with boundary conditions

Boundary Value Problems, 2018
This paper is concerned with the fractional differential equations of Sobolev type with boundary conditions in a Banach space. With the help of the properties of Hilfer fractional calculus, the theory of propagation families as well as the theory of the ...
Haide Gou, Baolin Li
doaj   +1 more source

Continuous time random walk, Mittag-Leffler waiting time and fractional diffusion: mathematical aspects

, 2007
We show the asymptotic long-time equivalence of a generic power law waiting time distribution to the Mittag-Leffler waiting time distribution, characteristic for a time fractional CTRW.
Gorenflo, Rudolf, Mainardi, Francesco
core   +3 more sources

‘Nature of the year’ in Germany: An effective policy to raise public awareness?

People and Nature, Volume 7, Issue 7, Page 1593-1604, July 2025.
Abstract Building public awareness for conservation can be done in different ways. However, the impact of the conservation marketing techniques is not well understood. The ‘nature of the year’ award is a public awareness building strategy for conservation in Germany, which aims to draw attention to annually selected species and their habitats. In order
Hilke Hollens‐Kuhr, Sascha Buchholz, Nadja Pernat   +2 more
wiley   +1 more source