Results 91 to 100 of about 1,271 (204)

Uniqueness Theorem and Midpoint Numerical Technique for Fractal-Fractional Differential Equations With Power Law Kernel

Journal of Applied Mathematics
In this paper, we obtained conditions for the uniqueness of solution and a Crank–Nicholson–type algorithm for fractal-fractional differential equations with a power law kernel in Riemann–Liouville sense. For the uniqueness analysis, Kooi's conditions are
Chinedu Nwaigwe, Abdon Atangana
doaj   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

A fractal operator associated to bivariate fractal interpolation functions

, 2018
A general framework to construct fractal interpolation surfaces (FISs) on rectangular grids was presented and bilinear FIS was deduced by Ruan and Xu [Bull. Aust. Math. Soc. 91(3), 2015, pp. 435-446]. From the view point of operator theory and the stand point of developing some approximation aspects, we revisit the aforementioned construction to obtain
Verma, S., Viswanathan, P.
openaire   +2 more sources

Mortar Method With Interpolative Mapping Displacement for Nonmatching Mesh Problems

International Journal for Numerical Methods in Engineering, Volume 127, Issue 17, 15 September 2026.
ABSTRACT In this paper, an interpolative mapping mortar method (IM‐mortar) is proposed for nonmatching finite element meshes. Displacement continuity is enforced weakly using a Lagrange multiplier field. An intermediate frame is introduced, on which the interface displacement field is reconstructed from the adjoining bodies through interpolative ...
Joon‐Young Kim, Byung‐Chai Lee, Jae‐Hoon Choi, Gi‐Dong Sim   +3 more
wiley   +1 more source

Water Permeates and Plasticizes Amorphous Carbon Dots: Unraveling the Inner Accessibility of the Nanoparticles by Glass Transition Studies

Advanced Materials, Volume 38, Issue 51, 11 September 2026.
The water permeability of amorphous carbon dots (CDs) is demonstrated by investigating their plasticization. Novel polyamide‐based and amorphous nanoparticles are synthesized by controlling their inner packing density. Water plasticization is evidenced by the decrease of the CDs glass transition temperature with increasing the hydration degree.
Elisa Sturabotti, Valerio Di Lisio, Lucia Cardo, Alessandro Camilli, Estela Moretón Alfonsín, Daniele Cangialosi, Amaia Iturrospe Ibarra, Arantxa Arbe, Maurizio Prato   +8 more
wiley   +1 more source

Riemann–Liouville Fractional Calculus of Nonlinear Hidden Variable Recurrent Fractal Interpolation Functions Based on Rakotch Contraction

Journal of Function Spaces
In this paper, we study Riemann–Liouville fractional calculus of nonlinear hidden variable recurrent fractal interpolation function (HVRFIF) constructed based on Rakotch contraction, which is a generalization of Banach contraction.
Chung-Il Ro, Chol-Hui Yun, Song-Chol Kwon, Un-Ryong Rim   +3 more
doaj   +1 more source

Personalized Network‐Guided Neuromodulation Enhances Human Working Memory

Advanced Science, Volume 13, Issue 49, 3 September 2026.
A personalized neuromodulation framework combining individualized functional brain network targeting with real‐time neural decoding is introduced. Using concurrent TMS–fMRI, participant‐specific stimulation targets and optimal frequencies are identified. Only optimal‐frequency stimulation improves working memory across sessions.
Ahsan Khan, Hongming Li, Camille Blaine, Julie Grier, Ethan Hammett, Almaris Figueroa‐Gonzalez, Sarai Garcia, Romain Duprat, Justin Reber, Joseph Deluisi, Christos Davatzikos, Theodore D. Satterthwaite, Yong Fan, Desmond J. Oathes   +13 more
wiley   +1 more source

Femtosecond‐Laser‐Induced Physical Unclonable Random Maze Structure for Storage‐Free Encryption

Advanced Science, Volume 13, Issue 49, 3 September 2026.
Femtosecond‐laser‐induced gold random maze structures serve as multimodal physical unclonable functions for storage‐free encryption. Their stochastic optical, electrical, and Raman responses are generated by plasmon‐assisted Marangoni formation and converted into AES‐compatible keys without permanent secret‐key storage, offering a portable route toward
Shiru Jiang, Hongliang Li, Shengjie Ma, Sang‐Shin Lee, Lei Wang, Mengyun Hu, Heping Zeng   +6 more
wiley   +1 more source

Gel Electrolytes for Flexible Zinc‐Air Batteries: Design, Challenges, and Perspectives

Advanced Science, Volume 13, Issue 49, 3 September 2026.
This review summarizes design strategies for gel electrolytes in flexible zinc‐air batteries, focusing on dendrite suppression, interfacial stability, and ultrathin architectures to enhance cycle life and energy density. ABSTRACT Flexible zinc‐air batteries (FZABs) have emerged as promising candidates for next‐generation flexible electronics and large ...
Yapeng Cao, Tengteng Gu, Yuqiong Wen, Xingxing Gao, Jian Wang, Jun Liu   +5 more
wiley   +1 more source

Analysis and dynamical structure of glucose insulin glucagon system with Mittage-Leffler kernel for type I diabetes mellitus

Scientific Reports
In this paper, we propose a fractional-order mathematical model to explain the role of glucagon in maintaining the glucose level in the human body by using a generalised form of a fractal fractional operator. The existence, boundedness, and positivity of
Maryam Batool, Muhammad Farman, Abdul Sattar Ghaffari, Kottakkaran Sooppy Nisar, Shankar Rao Munjam   +4 more
doaj   +1 more source