Results 31 to 40 of about 381 (137)
On a Singular Value Problem for the Fractional Laplacian on the Exterior of the Unit Ball [PDF]
, 2005 2000 Mathematics Subject Classification: Primary 26A33; Secondary 47G20, 31B05We study a singular value problem and the boundary Harnack principle for the fractional Laplacian on the exterior of the unit ...
Kefi, Khaled, Bezzarga, Mounir
core
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This paper presents a novel and efficient spectral collocation framework for solving nonlinear variable‐order fractional differential equations (VO‐FDEs) involving the Atangana–Baleanu–Caputo (ABC) operator. Shifted Morgan‐Voyce polynomials (SMVPs) are employed as basic functions to construct a new operational matrix specifically adapted to the ...
Ghadah S. E. Noman +2 more
wiley +1 more source
A Study on Mathematical Modelling of Michaelis–Menten Enzyme Kinetics Using Fractional Derivatives
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This article investigates mathematical simulations of Michaelis–Menten kinetics in differential biochemical reactions by implementing fractional derivatives. It establishes numerical computations for the concentrations of enzymes, substrates, inhibitors, products, and several complex intermediates using the homotopy perturbation method (HPM), homotopy ...
B. Radhakrishnan +3 more
wiley +1 more source
A Poster about the Recent History of Fractional Calculus [PDF]
, 2010 MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22In the last decades fractional calculus became an area of intense re-search and development.
J. T. MACHADO +4 more
core
Blow-up results for damped wave equation with fractional Laplacian and non linear memory
, 2022 This paper is devoted to find the critical exponent in Fujita’s sense and to prove the blow-up results of solutions for the damped equation with fractional Laplacian and nonlinear memory.
HADJ KADDOUR, Tayeb, HAKEM, Ali
core +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper introduces a new numerical method for solving a class of two‐dimensional fractional partial Volterra integral equations (2DFPVIEs). Our approach uses Lucas polynomials (LPs) to construct operational matrices (OMs) that effectively transform the complex fractional‐order equations into a more manageable system of algebraic equations.
S. S. Gholami +4 more
wiley +1 more source
On the Generalized Confluent Hypergeometric Function and Its Application [PDF]
, 2006 2000 Mathematics Subject Classification: 26A33, 33C20This paper is devoted to further development of important case of Wright’s hypergeometric function and its applications to the generalization of Γ-, B-, ψ-, ζ-, Volterra ...
Virchenko, Nina
core
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.Fractional differential equations (FDEs) have received a lot of interest because of their diverse applications in engineering, mathematical physics, chemistry, and biology. This study introduces a new family of fractional integral operators using incomplete R‐function kernels, advancing the theoretical foundation of FDEs further.
Priti Purohit +4 more
wiley +1 more source
On a Sharp Fractional Integrals Inequality
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper establishes a new class of sharp trapezoidal‐type inequalities for absolutely continuous functions whose derivatives belong to L2([a, b]). By employing the generalized Chebyshev functional and the framework of Riemann–Liouville fractional integrals, we derive an identity that characterizes the difference between the average of function ...
Mohsen Rostamian Delavar +2 more
wiley +1 more source
Some New Application of Extended Wright Function
MSC2020 Classification: 26A33, 33B15, 33C05, 65D20, 33E20 ...
Rajni Gupta +3 more
core +1 more source