Results 1 to 10 of about 2,228 (165)

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.
Arak M. Mathai, Hans J. Haubold
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Some New Application of Extended Wright Function

Abstract and Applied Analysis
MSC2020 Classification: 26A33, 33B15, 33C05, 65D20, 33E20 ...
Pallavi Sharma, Ekta Mittal, D. L. Suthar, Rajni Gupta   +3 more
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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, Manvendra Narayan Mishra, Rahul Sharma, Ravi Shanker Dubey   +4 more
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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.
Ahmad Bashir, Nieto Juan
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On nonexistence of solutions to some time-space fractional evolution equations with transformed space argument [PDF]

Bulletin of Mathematical Sciences, 2022
Some results on nonexistence of nontrivial solutions to some time and space fractional differential evolution equations with transformed space argument are obtained via the nonlinear capacity method.
A. Alsaedi, M. Kirane, A. Fino, B. Ahmad
semanticscholar   +1 more source

A new class of mixed fractional differential equations with integral boundary conditions

Moroccan Journal of Pure and Applied Analysis, 2021
This paper deals with a new class of mixed fractional differential equations with integral boundary conditions. We show an important equivalence result between our problem and nonlinear integral Fredholm equation of the second kind.
Somia Djiab, Brahim Nouiri
doaj   +1 more source

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

SOME NEW RESULTS OF INITIAL BOUNDARY PROBLEM CONTAIN ABC-FRACTIONAL DIFFERENTIAL EQUATIONS OF ORDER α∈(2,3)

IJISCS (International Journal of Information System and Computer Science), 2023
The purpose of this research is to investegate the existence and uniqueness of solutions for a new  class of Atangana-Baleanu fractional differential equations of order  with periodic boundary conditions.
A. Rafeeq, Muhammad Muhammad
semanticscholar   +1 more source

The e-positive mild solutions for impulsive evolution fractional differential equations with sectorial operator

Differential Equations & Applications, 2023
. In this paper, we investigate the existence of global e -positive mild solutions to the initial value problem for a nonlinear impulsive fractional evolution differential equation involving the theory of sectorial operators.
J. F. Junior, José Vanterler da Costa Sousa, E. Capelas de Oliveira   +2 more
semanticscholar   +1 more source

Multivariate Caputo left fractional Landau inequalities

Moroccan Journal of Pure and Applied Analysis, 2020
Relied on author’s first ever found multivariate Caputo fractional Taylor’s formula (2009, [1], Chapter 13), we develop and prove several multivariate left side Caputo fractional uniform Landau type inequalities.
Anastassiou George A.
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