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Mellin convolutions of products and ratios [PDF]
Frontiers in Applied Mathematics and StatisticsUsually, 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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Khalouta transform and applications to Caputo-fractional differential equations
Frontiers in Applied Mathematics and StatisticsThe 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 +4 more
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Some New Application of Extended Wright Function
Abstract and Applied AnalysisMSC2020 Classification: 26A33, 33B15, 33C05, 65D20, 33E20 ...
Pallavi Sharma +3 more
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Three-Point Boundary Value Problems for the Langevin Equation with the Hilfer Fractional Derivative
Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020 We discuss the existence and uniqueness of solutions for the Langevin fractional differential equation and its inclusion counterpart involving the Hilfer fractional derivatives, supplemented with three-point boundary conditions by means of standard tools
Athasit Wongcharoen +3 more
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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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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
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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 +4 more
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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 +3 more
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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
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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 +7 more
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