Results 21 to 30 of about 50 (50)

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, D. L. Suthar, Rodica D. Costin   +2 more
wiley   +1 more source

Solution of Caputo Generalized Bagley–Torvik Equation Using the Tarig Transform

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
A fractional‐order differential equation called the Bagley–Torvik equation describes the behavior of viscoelastic damping. We employed the newly defined Tarig transform in this study to find the analytic solution to the Caputo generalized Bagley–Torvik equation.
Lata Chanchlani, Manisha, D. L. Suthar, S. D. Purohit, Ahmed Saoudi   +4 more
wiley   +1 more source

On Hadamard and Fejér–Hadamard Inequalities for Fractional Integrals Involving Mittag‐Leffler‐Type Function of Arbitrary Order

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper introduces and investigates novel fractional integral operators featuring the extended Mittag‐Leffler function in the kernel. After establishing the core properties of these operators, we derive the corresponding Hadamard and Fejér–Hadamard inequalities.
Maged Bin-Saad, Jihad Younis, Maryam Salem Alatawi, Ali N. A. Koam, Shanhe Wu   +4 more
wiley   +1 more source

Numerical Investigation of a Fractional Cancer Chemotherapy Effect Model Using the Homotopy Decomposition Method

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Cancer, a highly aggressive neoplastic disease, has emerged as one of the leading causes of mortality worldwide. Chemotherapy remains one of the most effective therapeutic approaches for inhibiting tumor growth and reducing tumor mass. The main objective of the current work is to provide an in‐depth analysis of the fractional cancer chemotherapy effect
L. K. Yadav, M. M. Gour, S. D. Purohit, D. L. Suthar, A. M. Nagy   +4 more
wiley   +1 more source

Time fractional Yang-Abdel-Cattani derivative in generalized MHD Casson fluid flow with heat source and chemical reaction. [PDF]

Sci Rep, 2023
Sehra, Sadia H, Haq SU, Khan I.
europepmc   +1 more source

Significance of Free Convection Flow over an Oscillating Inclined Plate Induced by Nanofluid with Porous Medium: The Case of the Prabhakar Fractional Approach. [PDF]

Micromachines (Basel), 2022
Raza A, Khan U, Eldin SM, Alotaibi AM, Elattar S, Prasannakumara BC, Akkurt N, Abed AM.   +7 more
europepmc   +1 more source

Control-Oriented Modelling of a 3D-Printed Soft Actuator. [PDF]

Materials (Basel), 2018
Zolfagharian A, Kaynak A, Yang Khoo S, Zhang J, Nahavandi S, Kouzani A.   +5 more
europepmc   +1 more source

Bridging the gap between models based on ordinary, delayed, and fractional differentials equations through integral kernels. [PDF]

Proc Natl Acad Sci U S A
Zeraick Monteiro N, Weber Dos Santos R, Rodrigues Mazorche S.   +2 more
europepmc   +1 more source

Phragmén's voting methods and justified representation. [PDF]

Math Program
Brill M, Freeman R, Janson S, Lackner M.
europepmc   +1 more source