Results 61 to 70 of about 596 (184)
Existence and uniqueness of the solution of fractional damped dynamical systems [PDF]
, 2017 In this paper, we consider the existence and uniqueness of the solution of fractional damped dynamical systems. First, we obtain the spreading form of the Gronwall inequality.
Sheng, Jiale +3 more
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Annales Mathematicae Silesianae, 2023 In this paper, we use the finite element method to solve the fractional space-time diffusion equation over finite fields. This equation is obtained from the standard diffusion equation by replacing the first temporal derivative with the new fractional ...
Boutiba Malika +2 more
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This study uses the q‐calculus to present an innovative extension of the q‐Mittag−Leffler function. Next, we examine some of its notable characteristics, including image formula under the Kober fractional q‐calculus operator, recurrence relation and convergence, q‐integral transform, integral representations, and q‐derivative formulas.
Mulugeta Dawud Ali +2 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
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Advances in Nonlinear AnalysisIn this article, we mainly study the qualitative properties of solutions for dual fractional-order parabolic equations with nonlocal Monge-Ampère operators in different domains ∂tβμ(y,t)−Dατμ(y,t)=f(μ(y,t)).{\partial }_{t}^{\beta }\mu \left(y,t)-{D}_ ...
Yang Zerong, He Yong
doaj +1 more source
Pell-Lucas polynomials for numerical treatment of the nonlinear fractional-order Duffing equation
Demonstratio Mathematica, 2023 The nonlinear fractional-order cubic-quintic-heptic Duffing problem will be solved through a new numerical approximation technique. The suggested method is based on the Pell-Lucas polynomials’ operational matrix in the fractional and integer orders.
El-Sayed Adel Abd Elaziz
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
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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Ostrowski-type fractional integral inequalities for mappings whose derivatives are h-convex via Katugampola fractional integrals [PDF]
, 2018 In this paper we generalize some Riemann-Liouville fractional integral inequalities of Ostrowski-type for h-convex functions via Katugampola fractional integrals, generalizations of the Riemann-Liouville and the Hadamard fractional integrals.
KATUGAMPOLA, Udita N. +2 more
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this sequel, we employ an approach that combines the modified version of the Lagrange polynomial approximation technique with the biconjugate gradient stabilized method (BiCGSTAB) to analyze numerical solutions of fractional Volterra integral equations (FVIEs).
Imtiyaz Ahmad Bhat +3 more
wiley +1 more source