Results 71 to 80 of about 286 (182)

Some new quantum derivatives and integrals with their applications in integral error bounds

Demonstratio Mathematica
Integral inequalities play a crucial role in various areas of numerical analysis, particularly n the development of numerical integration formulas and numerical methods for differential equations.
An Yanrong, Ali Muhammad Aamir, Murtaza Ghulam, Budak Hüseyin, Zhao Dafang   +4 more
doaj   +1 more source

On multi-step methods for singular fractional q-integro-differential equations

Open Mathematics, 2021
The objective of this paper is to investigate, by applying the standard Caputo fractional q-derivative of order α\alpha , the existence of solutions for the singular fractional q-integro-differential equation Dqα[k](t)=Ω(t,k1,k2,k3,k4){{\mathcal{D}}}_{q}^
Hajiseyedazizi Sayyedeh Narges, Samei Mohammad Esmael, Alzabut Jehad, Chu Yu-ming   +3 more
doaj   +1 more source

Analysis of Multi Term Fractional Differential Equations using Variational Iteration Method

, 2022
In this paper, we have obtained an approximate solution ofmulti-term Caputo fractional differential equations (MFDEs) using theVariational iteration method (VIM).
Vikas S. Jadhav; Department of Mathematics, Nowrosjee Wadia College Pune, Bhausaheb R. Sontakke; Department of Mathematics, Pratishthan Mahavidyalaya, Paithan, Amjad S. Shaikh; Department of Mathematics, AKI’s Poona College of Arts, Science and Commerce, Pune, Kottakkaran S. Nisar; Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser, 11991   +3 more
core  

Existence and stability of solution to a toppled systems of differential equations of non-integer order [PDF]

, 2017
The aim of this paper is developing conditions that guarantee the existence of a solution to a toppled system of differential equations of noninteger order with fractional integral boundary conditions where the nonlinear functions involved in the ...
Shah, Kamal, Bessem Samet, Amjad Ali, Rahmat Ali Khan, Samet, Bessem, Khan, Rahmat, Ali, Amjad, Kamal Shah   +7 more
core   +2 more sources

Fractional powers approach of operators for abstract evolution equations of third order in time [PDF]

, 2020
In this work we study third order linear evolution equations in time, in the sense of theory of strongly continuous one-parameter semigroups, and approximations them of fractional order via theory of the fractional powers of closed and densely de ned ...
Santos, Lucas Araújo
core   +1 more source

Perturbation-iteration approach for fractional-order logistic differential equations

Nonlinear Engineering
In this article, we present an accurate semi-analytical solution for fractional-order logistic equations across a wider domain. We accomplish this by deriving successive approximate solutions using a modified perturbation iteration approach tailored for ...
Owoyemi Abiodun Ezekiel, Phang Chang, Isah Abdulnasir   +2 more
doaj   +1 more source

A Study of Fractional Kinetic Equations Incorporating Incomplete R‐Function Kernels

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This article introduces a more generalized version of the fractionalized kinetic equation (KE), expressed using the incomplete R‐function. Various special functions—including the incomplete and complete forms of the R‐function and H‐function, as well as the Fox–Wright and Meijer’s G‐functions—are employed to highlight the importance of fractional KEs ...
Priti Purohit, Ravi Gupta, Shyamsunder, D. L. Suthar, Antonio Di Crescenzo   +4 more
wiley   +1 more source

Pseudo‐Quantum Fractional Calculus and Existence of Solutions for Delay Pseudo‐Fractional Differential Equations in Generalized Banach Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper presents a new framework of pseudo‐q–fractional calculus in generalized Banach spaces by bringing together pseudo‐analysis, G–calculus, and quantum calculus. We introduce Liouville–Caputo and Riemann–Liouville pseudo‐q–fractional operators and outline their main properties. Then, by applying the Banach fixed point principle, we establish the
Alireza Hatami, Reza Saadati, Mohammad Bagher Ghaemi, Donal O’Regan, Smritijit Sen   +4 more
wiley   +1 more source

On a Riemann-Liouville fractional anti-periodic boundary value problem in a weighted space [PDF]

This paper is concerned with the existence of solutions for a fractional anti-periodic boundary value problem of order α ∈ (2, 3] involving Riemann–Liouville fractional derivative and integral operators in a weighted space. The existence of solutions for
NTOUYAS, Sotiris K., ALSAEDI, Ahmed, AHM, Bashir, SAEED, Hafed A.   +3 more
core   +1 more source

Semianalytical Solutions of a Caputo–Fabrizio Fractional Epidemic Model via the q‐Kushare Homotopy Transform Method

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this study, an enhanced semianalytical framework is developed for solving nonlinear fractional differential equations involving the Caputo–Fabrizio fractional operator. The proposed Caputo–Fabrizio q‐Kushare homotopy analysis transform method (CFq‐KHATM) combines the Caputo–Fabrizio derivative, Kushare transform, and q‐homotopy analysis within a ...
Aslı Alkan, Halil Anaç, Smritijit Sen
wiley   +1 more source