Fractional ordinary differential equations

Results 151 to 160 of about 4,114 (261)

Enhancing Fatigue Crack Growth Resistance in Heterostructured Aluminum Bimetals by Tailored Interface Design

Advanced Engineering Materials, EarlyView.
Different Al/Al bimetals with a single engineered interface reveal how mechanical mismatch governs fatigue crack growth under cyclic loading. Additionally, loading–unloading–reloading tests link the microyielding behavior to the fatigue crack growth resistance, while crack‐path analysis reveals toughening mechanisms at the interface, highlighting ...
Sebastian Vollath +2 more
wiley +1 more source

Stochastic fractional-order memristive fuzzy bam neural networks with time delays and leakage term for finite-time stability analysis. [PDF]

Sci Rep
Kumar J +5 more
europepmc +1 more source

On the Effect of Creep on Local Lattice Orientation in Single‐Crystal Ni‐Based Superalloy Microstructures

Advanced Engineering Materials, EarlyView.
During creep of a single‐crystal Ni‐based superalloy, the overall crystal orientation is observed to remain constant while the microstructure evolves. Despite the lack of macroscopic rotation, small (<1°) rotations are observed on the submicron size scale and are accommodated by counteracting rotations over the scale of several micrometers.
E. J. Payton +3 more
wiley +1 more source

Constructing optical soliton wave structure and modulation instability analysis for coupled fractional Lakshmanan-Porsezian-Daniel equation with Kerr's law nonlinearity. [PDF]

Sci Rep
Aghazadeh A, Lakestani M.
europepmc +1 more source

Foundational Machine‐Learning Interatomic Potential for Simulating Chemically Complex Ni‐Based Superalloys

Advanced Engineering Materials, EarlyView.
We apply a foundational machine‐learning interatomic potential based on the graph atomic cluster expansion (GRACE) to simulate the commercial Ni‐based single‐crystal superalloy CMSX‐4. Hybrid Monte‐Carlo/molecular dynamics sampling resolves short‐range order in the γ phase and L12 sublattice occupancies in the γ’ phase and connects them to stacking ...
Aditya Vishwakarma +4 more
wiley +1 more source

Periodic structures of solitons and shock wave solutions in the fractional nonlinear Shynaray-IIA equation via a generalized analytical method. [PDF]

Sci Rep
Iqbal M +7 more
europepmc +1 more source

The Influence of Field‐Assisted Sintering Technology (FAST) Temperature and Cooling Rate on the Microstructural Evolution in Gamma‐Titanium Aluminide Alloy GE4822

Advanced Engineering Materials, EarlyView.
Controlling the Field Assisted Sintering Technology (FAST) parameters, dwell temperature and cooling rate, significantly influences the microstructural evolution in titanium aluminide GE4822. Significant γ‐lamellar colonies develop only upon cooling through the α‐transus.
Jack Krohn, James Pepper, Martin Jackson
wiley +1 more source

New analytical wave solutions for the gardner equation via the Riccati-modified extended simple equation method. [PDF]

Sci Rep
Jawarneh Y +5 more
europepmc +1 more source

Microstructure Modification of Additively Manufactured Mo–9Si–8B by Annealing and Its Effects on High‐Temperature Mechanical Properties

Advanced Engineering Materials, EarlyView.
Postbuild annealing systematically modifies the phase fractions and morphology of EB‐PBF processed Mo–9Si–8B. Quantitative microstructure–property correlations reveal how controlled phase evolution enhances high‐temperature compressive strength and creep resistance.
Christopher Schmidt +5 more
wiley +1 more source

A New Analytical Method for Solving the Fractional Swift-Hohenberg Equation with Atangana-Baleanu Derivative. [PDF]

F1000Res
Khalid Kareem J, Kamil Jassim H, Taimah Yasser M. +2 more
europepmc +1 more source

fractional differential equations
mathematics
fractional calculus

fractional derivatives and integrals
convergence
stability

fractional differential equation
fractional derivative
applied mathematics