Results 51 to 60 of about 381 (137)
Solution of Caputo Generalized Bagley–Torvik Equation Using the Tarig Transform
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.A fractional‐order differential equation called the Bagley–Torvik equation describes the behavior of viscoelastic damping. We employed the newly defined Tarig transform in this study to find the analytic solution to the Caputo generalized Bagley–Torvik equation.
Lata Chanchlani +4 more
wiley +1 more source
Stochastic Solution of a KPP-Type Nonlinear Fractional Differential Equation [PDF]
, 2009 Mathematics Subject Classification: 26A33, 76M35, 82B31A stochastic solution is constructed for a fractional generalization of the KPP (Kolmogorov, Petrovskii, Piskunov) equation. The solution uses a fractional generalization of the branching exponential
Ouerdiane, H. +2 more
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Visualizing Fractional Integral Inequalities Using Euler’s Beta Function and Extended Convexity
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this research article, we present various extensions and refinements of Hermite–Hadamard and related fractional integral inequalities by utilizing the unique characteristics of Euler’s beta and extended convex functions. In some of these results, Euler’s beta function is used as a weight function, while in the others, Euler’s incomplete beta ...
Muhammad Imran +6 more
wiley +1 more source
Boundary value problems for fractional differential inclusions with Hadamard type derivatives in Banach spaces [PDF]
, 2017 The authors establish sufficient conditions for the existence of solutions to boundary value problems for fractional differential inclusions involving the Hadamard type fractional derivative of order α ∈ (1, 2] in Banach spaces.
HAMANI, Samira +2 more
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Linear Fractional PDE, Uniqueness of Global Solutions [PDF]
, 2005 Mathematics Subject Classification: 26A33, 47A60, 30C15.In this paper we treat the question of existence and uniqueness of solutions of linear fractional partial differential equations.
Nolte, Bodo +2 more
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Convolution Products in L1(R+), Integral Transforms and Fractional Calculus [PDF]
, 2005 Mathematics Subject Classification: 43A20, 26A33 (main), 44A10, 44A15We prove equalities in the Banach algebra L1(R+). We apply them to integral transforms and fractional calculus.* Partially supported by Project BFM2001-1793 of the MCYT-DGI and FEDER ...
Miana, Pedro
core
, 2020 The present article deals with the existence and stability results for a class of fractional differential equations involving generalized Katugampola derivative.
BHAIRAT, Sandeep P.
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Certain Properties of Fractional Calculus Operators Associated with Generalized Mittag-Leffler Function [PDF]
, 2005 Mathematics Subject Classification: 26A33, 33E12, 33C20.It has been shown that the fractional integration and differentiation operators transform such functions with power multipliers into the functions of the same form. Some of the results given earlier
Saigo, Megumi, Saxena, R. K.
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Weighted Theorems on Fractional Integrals in the Generalized Hölder Spaces via Indices mω and Mω [PDF]
, 2004 Mathematics Subject Classification: 26A16, 26A33, 46E15.There are known various statements on weighted action of one-dimensional and multidimensional fractional integration operators in spaces of continuous functions, such as weighted generalized Hölder ...
Samko, Natasha, Karapetyants, Nikolai
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, 2018 In this paper, we establish sufficient conditions for the existence and stability of solutions for a class of nonlocal initial value problems for differential equations with Hilfer’s fractional derivative.
BENCHOHRA, Mouffak +2 more
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