Results 1 to 10 of about 2,984 (190)

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
doaj   +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, Manvendra Narayan Mishra, Rahul Sharma, Ravi Shanker Dubey   +4 more
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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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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
doaj   +2 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

Nonlocal Initial Value Problem for Hybrid Generalized Hilfer-type Fractional Implicit Differential Equations

Nonautonomous Dynamical Systems, 2021
In this paper, we prove some existence results of solutions for a class of nonlocal initial value problem for nonlinear fractional hybrid implicit differential equations under generalized Hilfer fractional derivative. The result is based on a fixed point
Salim Abdelkrim, Benchohra Mouffak, Lazreg Jamal Eddine, Nieto Juan J., Zhou Yong   +4 more
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A numerical study of anomalous electro-diffusion cells in cable sense with a non-singular kernel

Demonstratio Mathematica, 2022
The time-fractional cable model is solved using an extended cubic B-spline (ECBS) collocation strategy. The B-spline function was used for space partitioning, while the Caputo-Fabrizio (CF) was used for temporal discretization.
Iqbal Azhar, Akram Tayyaba
doaj   +1 more source

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

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
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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