Results 61 to 70 of about 357,245 (207)
Composition of Fractional Integral and Derivative Operators: Summarised in Tables
Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14682-14696, 15 September 2026.ABSTRACT This paper compiles a complete, detailed list of composition properties for Riemann–Liouville fractional differintegrals, in all possible cases for orders anywhere in the complex plane, with the results presented clearly in a table for easy visual consumption.
Arran Fernandez
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Boundary Value ProblemsIn the current research, some midpoint-type inequalities are generalized for co-ordinated convex functions with the help of generalized conformable fractional integrals.
Mehmet Eyüp Kiriş +4 more
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Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals
Journal of Inequalities and Applications, 2017 Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named ( k , s ) $(k,s)$ -Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is established.
Praveen Agarwal +2 more
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Fractional Hermite-Hadamard-type inequalities for interval-valued co-ordinated convex functions
Open Mathematics, 2021 In this work, we introduce the notions about the Riemann-Liouville fractional integrals for interval-valued functions on co-ordinates. We also establish Hermite-Hadamard and some related inequalities for co-ordinated convex interval-valued functions by ...
Budak Huseyin +4 more
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
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On multiplicative conformable fractional integrals: theory and applications
Boundary Value ProblemsIn this paper, we first introduce the multiplicative conformable left and right fractional integrals, followed by the derivation of key properties, such as integrability, boundedness, continuity, and the semi-group property, for the newly defined ...
Hüseyin Budak, Büşra Betül Ergün
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Fractional Probability Theory of Arbitrary Order
Fractal and Fractional, 2023 A generalization of probability theory is proposed by using the Riemann–Liouville fractional integrals and the Caputo and Riemann–Liouville fractional derivatives of arbitrary (non-integer and integer) orders. The definition of the fractional probability
Vasily E. Tarasov
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On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15358-15384, 15 September 2026.ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
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Generalized Fractional Integral Inequalities of σ-Convex Functions
Journal of MathematicsIn this paper, we prove generalized fractional integral inequalities of Hermite–Hadamard–type with respect to a monotone function for σ-convex functions on account of the Riemann–Liouville fractional integral.
Shweta Lather, Harish Nagar
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A New Gronwall–Bellman Inequality in Frame of Generalized Proportional Fractional Derivative
Mathematics, 2019 New versions of a Gronwall−Bellman inequality in the frame of the generalized (Riemann−Liouville and Caputo) proportional fractional derivative are provided.
Jehad Alzabut +3 more
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