Results 31 to 40 of about 123,114 (281)
An existence result for a class of nonlinear integral equations of fractional orders
Nonlinear Analysis, 2016 Using a measure of non-compactness argument, we study in this paper the existence of solutions for a class of functional equations involving a fractional integral with respect to another function.
Ravi P. Agarwala, Bessem Samet
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Advances in Difference Equations, 2020 In this paper, we investigate the existence of solution of non-autonomous fractional differential equations with integral impulse condition by the measure of non-compactness (MNC), fixed point theorems, and k-set contraction.
Ashish Kumar +4 more
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Axioms, 2021 In this manuscript, we establish the mild solutions for Hilfer fractional derivative integro-differential equations involving jump conditions and almost sectorial operator. For this purpose, we identify the suitable definition of a mild solution for this
Kulandhaivel Karthikeyan +3 more
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Measures of weak non-compactness in spaces of nuclear operators [PDF]
Mathematische Zeitschrift, 2019 We show that in the space of nuclear operators from $\ell^q( )$ to $\ell^p(J)$ the two natural ways of measuring weak non-compactness coincide. We also provide explicit formulas for these measures. As a consequence the same is proved for preduals of atomic von Neumann algebras.
Hamhalter, Jan, Kalenda, Ondřej F. K.
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Measures of weak non-compactness in preduals of von Neumann algebras and JBW⁎-triples [PDF]
Journal of Functional Analysis, 2020 58 pages; the paper was revised - some misprints were corrected, some proofs were done in more detail, some proofs were simplified, references were ...
Hamhalter, Jan +3 more
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Progressive contractions, measures of non-compactness and quadratic integral equations [PDF]
Differential Equations & Applications, 2019 The authors use the method of progressive contractions and the measures of non-compactness to obtain a unique asymptotically stable solution of the quadratic integral equation \[ x(t) = g(t, x(t)) + f (t, x(t)) \int_0^t (t-s)^{\beta-1} v(t, s, x(s))ds,\quad t\geq0. \] In my opinion this paper is very nice and very interesting.
Burton, T. A., Purnaras, I. K.
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Arab Journal of Basic and Applied Sciences, 2020 In this article, we establish some results for the existence of solution of nonlinear functional integral equations by using Darbo’s fixed point theorem in Banach algebra.
Amar Deep, Deepmala, Cemil Tunç
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Measure of non-compactness and interpolation methods associated to polygons [PDF]
Glasgow Mathematical Journal, 1999 We establish an estimate for the measure of non-compactness of an interpolated operator acting from a J-space into a K-space. Our result refers to general Banach N-tuples. We also derive estimates for entropy numbers if some of the N-tuples reduce to a single Banach space.
Cobos, Fernando +2 more
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Fractal and Fractional, 2022 This paper is concerned with the existence of the solution to mixed-type non-linear fractional functional integral equations involving generalized proportional (κ,ϕ)-Riemann–Liouville along with Erdélyi–Kober fractional operators on a Banach space C([1,T]
Vijai Kumar Pathak +3 more
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Existence result for a fractional differential equation involving a special derivative
Moroccan Journal of Pure and Applied Analysis, 2022 In this article, we establish certain sufficient conditions to show the existence of solutions of an initial value problem of fractional-ordinary differential equation in Banach space.
Beddani Moustafa, Hedia Benaouda
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