Solution of an extraordinary differential equation by Adomian decomposition method.
Ray, S.Saha, Bera, R.K. (2004)
Journal of Applied Mathematics
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Displaying similar documents to “On an inequality of G. H. Hardy.”
Solution of an extraordinary differential equation by Adomian decomposition method.
A note on generalized fractional integral operators on generalized Morrey spaces.
Sawano, Yoshihiro, Sugano, Satoko, Tanaka, Hitoshi (2009)
Boundary Value Problems [electronic only]
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Generalization of an inequality for integral transforms with kernel and related results.
Iqbal, Sajid, Pečarić, Josip, Zhou, Yong (2010)
Journal of Inequalities and Applications [electronic only]
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A new proof of weighted weak-type inequalities for fractional integrals
David Cruz-Uribe (2001)
Commentationes Mathematicae Universitatis Carolinae
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We give a new and simpler proof of a two-weight, weak inequality for fractional integrals first proved by Cruz-Uribe and Pérez [4].
Abstract differential equations of arbitrary (fractional) orders
El-Sayed, Ahmed M. A.
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Riesz potential operators and inverses via fractional centred derivatives.
Ortigueira, Manuel Duarte (2006)
International Journal of Mathematics and Mathematical Sciences
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Fractional-order variational calculus with generalized boundary conditions.
Herzallah, Mohamed A.E., Baleanu, Dumitru (2011)
Advances in Difference Equations [electronic only]
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Fractional Derivatives in Spaces of Generalized Functions
Stojanović, Mirjana (2011)
Fractional Calculus and Applied Analysis
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MSC 2010: 26A33, 46Fxx, 58C05 Dedicated to 80-th birthday of Prof. Rudolf Gorenflo We generalize the two forms of the fractional derivatives (in Riemann-Liouville and Caputo sense) to spaces of generalized functions using appropriate techniques such as the multiplication of absolutely continuous function by the Heaviside function, and the analytical continuation. As an application, we give the two forms of the fractional derivatives of discontinuous functions in spaces of...
Hermite-Hadamard Type Inequalities for convex functions via generalized fractional integral operators
Erhan Set, Abdurrahman Gözpinar (2016)
Topological Algebra and its Applications
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In this present work, the authors establish a new integral identity involving generalized fractional integral operators and by using this fractional-type integral identity, obtain some new Hermite-Hadamard type inequalities for functions whose first derivatives in absolute value are convex. Relevant connections of the results presented here with those earlier ones are also pointed out.