Results 21 to 30 of about 2,468 (141)
Strict LpSolutions for Nonautonomous Fractional Evolution Equations [PDF]
, 2012 MSC 2010: 26A33, 34A08 ...
Bazhlekova, Emilia
core
Abstract and Applied AnalysisMSC2020 Classification: 26A33, 33B15, 33C05, 33C20, 44A10, 44A20.
S. Chandak +2 more
doaj +1 more source
Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function
Open Mathematics, 2020 The primary objective of this research is to establish the generalized fractional integral inequalities of Hermite-Hadamard-type for MT-convex functions and to explore some new Hermite-Hadamard-type inequalities in a form of Riemann-Liouville fractional ...
Han Jiangfeng +2 more
doaj +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
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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
Khalouta transform and applications to Caputo-fractional differential equations
Frontiers in Applied Mathematics and StatisticsThe paper aims to utilize an integral transform, specifically the Khalouta transform, an abstraction of various integral transforms, to address fractional differential equations using both Riemann-Liouville and Caputo fractional derivative.
Nikita Kumawat +4 more
doaj +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
Existence and stability of impulsive coupled system of fractional integrodifferential equations
Demonstratio Mathematica, 2019 In this manuscript, we deal with a class and coupled system of implicit fractional differential equations, having some initial and impulsive conditions. Existence and uniqueness results are obtained by means of Banach’s contraction mapping principle and ...
Zada Akbar +3 more
doaj +1 more source
Composition Formula for Saigo Fractional Calculus Operator on p R q Function
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.In this paper, we use the Saigo operators to create fractional integral and derivative formulations involving the generalized p R q function. The resulting expressions are represented using generalized Wright hypergeometric functions. We develop various results for fractional integrals and derivatives of the Weyl, Erdélyi–Kober, Saigo, and Riemann ...
Belete Debalkie +2 more
wiley +1 more source