Results 41 to 50 of about 381 (137)
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
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Existence Results for Fractional Functional Differential Inclusions with Infinite Delay and Applications to Control Theory [PDF]
, 2008 Mathematics Subject Classification: 26A33, 34A60, 34K40, 93B05In this paper we investigate the existence of solutions for fractional functional differential inclusions with infinite delay. In the last section we present an application of our main results
Ouahab, A. +3 more
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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
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On Multidimensional Analogue of Marchaud Formula for Fractional Riesz-Type Derivatives in Domains in R^n [PDF]
, 2005 2000 Mathematics Subject Classification: 26A33, 42B20There is given a generalization of the Marchaud formula for one-dimensional fractional derivatives on an interval (a, b), −∞ < a < b ≤ ∞, to the multidimensional case of functions defined on a region ...
Rafeiro, Humberto, Samko, Stefan
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Well‐Posedness for Time‐Fractional Diffusion With Singular Multiplicative Forcing
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.We consider a time‐fractional diffusion equation on ℝ with a possibly singular multiplicative forcing term. By exploiting an operator convolution identity, the original mild formulation is reduced to a Volterra integral equation involving the fractional diffusion family.
Ngo Ngoc Hung, Julian Pucheta
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On a generalization of the Wirtinger inequality and some its applications
, 2023 In this paper, we present generalized versions of the Wirtinger inequality, which contains as particular cases many of the well-known versions of this classic isoperimetric inequality.
Juan E. Napoles-Valdes +5 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
Solvability and Stability of Solutions of (q, τ)‐Fractional Integro‐Differential Models
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, we investigate a set of nonlinear (q, τ)‐fractional Fredholm integrodifferential equations that involve memory‐type integral kernels and generalized fractional derivatives. Using a Galerkin technique based on (q, τ)‐Legendre polynomials, we designed an approximation solution and provided a numerical scheme for calculating the integral ...
Shaher Momani +3 more
wiley +1 more source
Anti-Periodic Boundary Value Problem for Impulsive Fractional Integro Differential Equations [PDF]
, 2010 MSC 2010: 34A37, 34B15, 26A33, 34C25, 34K37In this paper we prove the existence of solutions for fractional impulsive differential equations with antiperiodic boundary condition in Banach spaces.
Karthikeyan, P., Anguraj, A.
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