Results 1 to 10 of about 1,041 (176)

Mellin convolutions of products and ratios [PDF]

Frontiers in Applied Mathematics and Statistics
Usually, convolution refers to Laplace convolution in the literature, but Mellin convolutions can yield very ueful results. This aspect is illustrated in the coming sections. This study deals with Mellin convolutions of products and ratios.
A. Mathai, H. Haubold
semanticscholar   +3 more sources

On the Well‐Posedness and Stability Analysis of Nonlinear Fractional Integrodifferential Equations Subject to Integral Boundary Constraints

Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.
This article investigates the existence, uniqueness, and stability of solutions for a class of nonlinear fractional integrodifferential equations (NLFIDEs) with nonlocal boundary conditions in Banach algebras. By employing advanced analytical techniques within the Banach algebra framework, we rigorously establish existence and uniqueness results and ...
Yahia Awad, Mirvet Abou Omar, Hussein Fakih, Sami Hammoud, Deepali   +4 more
wiley   +2 more sources

Khalouta transform and applications to Caputo-fractional differential equations

Frontiers in Applied Mathematics and Statistics
The 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, Akanksha Shukla, M. Mishra, Rahul Sharma, Ravi Shanker Dubey   +4 more
semanticscholar   +3 more sources

Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions

Boundary Value Problems, 2011
This article investigates a boundary value problem of Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions.
B. Ahmad, J. Nieto
semanticscholar   +3 more sources

A New Approach of Milne-type Inequalities Based on Proportional Caputo-Hybrid Operator

Journal of Advances in Applied & Computational Mathematics, 2023
In this study, we first offer a novel integral identity using twice-differentiable convex mappings for the proportional Caputo-hybrid operator.
İzzettin Demir
semanticscholar   +1 more source

Lakshmikantham Monotone Iterative Principle for Hybrid Atangana-Baleanu-Caputo Fractional Differential Equations

Annals of the West University of Timisoara: Mathematics and Computer Science, 2023
In this paper, we study the following fractional differential equation involving the Atangana-Baleanu-Caputo fractional derivative: {ABCaDτθ[x(ϑ)−F(ϑ,x(ϑ))]=G(ϑ,x(ϑ)),    ϑ∈J:=[a,b],x(a)=φa∈ℝ.$$\left\{ {\matrix{ {AB{C_a}D_\tau ^\theta [x(\vartheta ...
Benkhettou Nadia, Salim Abdelkrim, Lazreg Jamal Eddine, Abbas Saïd, Benchohra Mouffak   +4 more
doaj   +1 more source

On the mixed fractional quantum and Hadamard derivatives for impulsive boundary value problems

Open Mathematics, 2021
In this work, we initiate the study of a new class of impulsive boundary value problems consisting of mixed type fractional quantum and Hadamard derivatives.
Niyoom Somboon, Ntouyas Sotiris K., Sudprasert Chayapat, Tariboon Jessada   +3 more
doaj   +1 more source

A comprehensive review on fractional-order optimal control problem and its solution

Open Mathematics, 2023
This article presents a comprehensive literature survey on fractional-order optimal control problems. Fractional-order differential equation is extensively used nowadays to model real-world systems accurately, which exhibit fractal dimensions, memory ...
Abd-Elmonem Assmaa, Banerjee Ramashis, Ahmad Shabir, Jamshed Wasim, Nisar Kottakkaran Sooppy, Eid Mohamed R., Ibrahim Rabha W., El Din Sayed M.   +7 more
doaj   +1 more source

Fox H-functions as exact solutions for Caputo type mass spring damper system under Sumudu transform

Journal of Applied Mathematics and Computational Mechanics, 2021
. Closed form solutions for mathematical systems are not easy to find in many cases. In particular, linear systems such as the population growth/decay model, RLC circuit, mixing problems in chemistry, first-order kinetic reactions, and mass spring damper ...
S. Qureshi
semanticscholar   +1 more source

Numeric Fem’s Solution for Space-Time Diffusion Partial Differential Equations with Caputo–Fabrizion and Riemann–Liouville Fractional Order’s Derivatives

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, Baghli-Bendimerad Selma, Fečkan Michal   +2 more
doaj   +1 more source