Tapdigoglu, Ramiz; Altwaijry, Najla On some applications of Duhamel operators. (English) Zbl 1503.47064 Math. Slovaca 72, No. 5, 1375-1381 (2022). MSC: 47G10 44A35 PDFBibTeX XMLCite \textit{R. Tapdigoglu} and \textit{N. Altwaijry}, Math. Slovaca 72, No. 5, 1375--1381 (2022; Zbl 1503.47064) Full Text: DOI
Różański, Michał; Sikora, Beata; Smuda, Adrian; Wituła, Roman On theoretical and practical aspects of Duhamel’s integral. (English) Zbl 1495.93038 Arch. Control Sci. 31, No. 4, 815-847 (2021). MSC: 93C15 93C20 93C05 44A10 PDFBibTeX XMLCite \textit{M. Różański} et al., Arch. Control Sci. 31, No. 4, 815--847 (2021; Zbl 1495.93038) Full Text: DOI
Kogan, Iosif Leonidovich Construction of Mikusiński operational calculus based on the convolution algebra of distributions. Methods for solving mathematical physics problems. (Russian. English summary) Zbl 1424.44006 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 22, No. 2, 236-253 (2018). MSC: 44A40 35E20 46F05 PDFBibTeX XMLCite \textit{I. L. Kogan}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 22, No. 2, 236--253 (2018; Zbl 1424.44006) Full Text: DOI MNR
Kumar, Hemant; Rai, Surya Kant On a fractional time derivative and multi-dimensional space evolution Bessel Sturm Liouville diffusion and wave problem. (English) Zbl 1415.35281 Jñānābha 2018, Spec. Iss., 61-71 (2018). MSC: 35R11 35M33 35M12 44A30 PDFBibTeX XMLCite \textit{H. Kumar} and \textit{S. K. Rai}, Jñānābha 2018, 61--71 (2018; Zbl 1415.35281)
Bazhlekova, Emilia Convolutional calculus of Dimovski and QR-regularization of the backward heat problem. (English) Zbl 1488.35616 Serdica Math. J. 41, No. 4, 415-430 (2015). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 35R30 44A35 44A40 35K05 35K20 35K35 35C15 PDFBibTeX XMLCite \textit{E. Bazhlekova}, Serdica Math. J. 41, No. 4, 415--430 (2015; Zbl 1488.35616) Full Text: Link
Bru, J.-B.; de Siqueira Pedra, W.; Hertling, C. Microscopic conductivity of lattice fermions at equilibrium. I: Non-interacting particles. (English) Zbl 1322.82015 J. Math. Phys. 56, No. 5, 051901, 51 p. (2015). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 82C70 82D25 78A35 78A25 46F10 42A38 44A15 PDFBibTeX XMLCite \textit{J. B. Bru} et al., J. Math. Phys. 56, No. 5, 051901, 51 p. (2015; Zbl 1322.82015) Full Text: DOI arXiv Link
Dimovski, Ivan H. Nonclassical convolutions and their uses. (English) Zbl 1312.44007 Fract. Calc. Appl. Anal. 17, No. 4, 936-944 (2014). MSC: 44A35 42B15 44A40 44A45 PDFBibTeX XMLCite \textit{I. H. Dimovski}, Fract. Calc. Appl. Anal. 17, No. 4, 936--944 (2014; Zbl 1312.44007) Full Text: DOI
Tsankov, Yulian Exact solution of local and nonlocal BVPs for the Laplace equation in a rectangle. (English) Zbl 1375.35214 Barkatou, Moulay (ed.) et al., Algebraic and algorithmic aspects of differential and integral operators. 5th international meeting, AADIOS 2012, held at the applications of computer algebra conference, ACA 2012, Sofia, Bulgaria, June 25–28, 2012. Selected and invited papers. Berlin: Springer (ISBN 978-3-642-54478-1/pbk). Lecture Notes in Computer Science 8372, 190-200 (2014). MSC: 35J65 35C15 35J05 44A45 PDFBibTeX XMLCite \textit{Y. Tsankov}, Lect. Notes Comput. Sci. 8372, 190--200 (2014; Zbl 1375.35214) Full Text: DOI
Bazhlekova, Emilia; Dimovski, Ivan Time-fractional Thornley’s problem. (English) Zbl 1312.35174 J. Inequal. Spec. Funct. 4, No. 1, 21-35 (2013). MSC: 35R11 35C10 26A33 44A40 44A35 PDFBibTeX XMLCite \textit{E. Bazhlekova} and \textit{I. Dimovski}, J. Inequal. Spec. Funct. 4, No. 1, 21--35 (2013; Zbl 1312.35174)
Tsankov, Yulian Explicit solution of a nonlocal boundary value problem for heat equation. (English) Zbl 1313.35044 C. R. Acad. Bulg. Sci. 66, No. 7, 941-950 (2013). Reviewer: Petar Popivanov (Sofia) MSC: 35C05 44A35 44A40 35K20 35C10 34B10 PDFBibTeX XMLCite \textit{Y. Tsankov}, C. R. Acad. Bulg. Sci. 66, No. 7, 941--950 (2013; Zbl 1313.35044)
Dimovski, Ivan; Spiridonova, Margarita Extension of Duhamel principle for linear nonlocal initial-boundary value problems. (English) Zbl 1302.44005 Kiryakova, Virginia (ed.), Complex analysis and applications ’13. Proceedings of the international conference, CAA ’13, Sofia, Bulgaria, October 31 – November 2, 2013. Dedicated to the 100th anniversary of Academician Ljubomir Iliev. Sofia: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics (ISBN 978-954-8986-38-0). 85-92 (2013). MSC: 44A40 35A22 35K05 35L05 PDFBibTeX XMLCite \textit{I. Dimovski} and \textit{M. Spiridonova}, in: Complex analysis and applications '13. Proceedings of the international conference, CAA '13, Sofia, Bulgaria, October 31 -- November 2, 2013. Dedicated to the 100th anniversary of Academician Ljubomir Iliev. Sofia: Bulgarian Academy od Sciences, Institute of Mathematics and Informatics. 85--92 (2013; Zbl 1302.44005) Full Text: Link
Dimovski, Ivan; Tsankov, Yulian Exact solutions of nonlocal BVPs for the multidimensional heat equations. (English) Zbl 1272.35067 Math. Balk., New Ser. 26, No. 1-2, 89-102 (2012). MSC: 35C15 44A35 44A45 44A40 35K20 35K05 PDFBibTeX XMLCite \textit{I. Dimovski} and \textit{Y. Tsankov}, Math. Balk., New Ser. 26, No. 1--2, 89--102 (2012; Zbl 1272.35067)
Chobanov, Georgi; Dimovski, Ivan Exact solutions of nonlocal pluriparabolic problems. (English) Zbl 1273.35084 Math. Balk., New Ser. 26, No. 1-2, 53-64 (2012). Reviewer: Lutz Recke (Berlin) MSC: 35C15 44A35 44A40 35G15 PDFBibTeX XMLCite \textit{G. Chobanov} and \textit{I. Dimovski}, Math. Balk., New Ser. 26, No. 1--2, 53--64 (2012; Zbl 1273.35084)
Aleksić, Jelena Gauss kernel method for generalized solutions to conservation laws in heterogeneous media. (English) Zbl 1223.35223 Integral Transforms Spec. Funct. 22, No. 4-5, 247-254 (2011). MSC: 35L65 46F30 33E30 44A20 PDFBibTeX XMLCite \textit{J. Aleksić}, Integral Transforms Spec. Funct. 22, No. 4--5, 247--254 (2011; Zbl 1223.35223) Full Text: DOI
Dimovski, Ivan; Spiridonova, Margarita Operational calculus approach to nonlocal Cauchy problems. (English) Zbl 1221.44011 Math. Comput. Sci. 4, No. 2-3, 243-258 (2010). Reviewer: Franz Selig (Wien) MSC: 44A40 44A35 68W30 34A25 34A12 34C25 PDFBibTeX XMLCite \textit{I. Dimovski} and \textit{M. Spiridonova}, Math. Comput. Sci. 4, No. 2--3, 243--258 (2010; Zbl 1221.44011) Full Text: DOI Link
Dimovski, Ivan H. The commutant of the Riemann-Liouville operator of fractional integration. (English) Zbl 1202.42014 Fract. Calc. Appl. Anal. 12, No. 4, 443-448 (2009). Reviewer: Som Prakash Goyal (Jaipur) MSC: 42A45 26A33 44A35 PDFBibTeX XMLCite \textit{I. H. Dimovski}, Fract. Calc. Appl. Anal. 12, No. 4, 443--448 (2009; Zbl 1202.42014)
Dimovski, Ivan H.; Skórnik, Krystyna A. Operational calculi for the Euler operator. (English) Zbl 1132.44005 Fract. Calc. Appl. Anal. 9, No. 2, 89-100 (2006). MSC: 44A40 44A35 34A25 34B05 PDFBibTeX XMLCite \textit{I. H. Dimovski} and \textit{K. A. Skórnik}, Fract. Calc. Appl. Anal. 9, No. 2, 89--100 (2006; Zbl 1132.44005) Full Text: EuDML
Dimovski, I.; Spiridonova, M. Computational approach to nonlocal boundary value problems by multivariate operational calculus. (English) Zbl 1088.65579 Math. Sci. Res. J. 9, No. 12, 315-329 (2005). MSC: 65M70 35K20 44A40 35A22 35L20 35L05 35L30 68W30 PDFBibTeX XMLCite \textit{I. Dimovski} and \textit{M. Spiridonova}, Math. Sci. Res. J. 9, No. 12, 315--329 (2005; Zbl 1088.65579)
Karaev, M. T.; Tuna, H. Description of maximal ideal space of some Banach algebra with multiplication as Duhamel product. (English) Zbl 1069.47034 Complex Variables, Theory Appl. 49, No. 6, 449-457 (2004). Reviewer: Kun Soo Chang (Seoul) MSC: 47B47 44A35 PDFBibTeX XMLCite \textit{M. T. Karaev} and \textit{H. Tuna}, Complex Variables, Theory Appl. 49, No. 6, 449--457 (2004; Zbl 1069.47034) Full Text: DOI
Dimovski, Ivan; Kiryakova, Virginia The Obrechkoff integral transform: Properties and relation to a generalized fractional calculus. (English) Zbl 0956.44002 Numer. Funct. Anal. Optimization 21, No. 1-2, 121-144 (2000). Reviewer: P.K.Banerji (Jodhpur) MSC: 44A15 26A33 33C60 44A10 PDFBibTeX XMLCite \textit{I. Dimovski} and \textit{V. Kiryakova}, Numer. Funct. Anal. Optim. 21, No. 1--2, 121--144 (2000; Zbl 0956.44002) Full Text: DOI
Mincheva, Svetlana On the automorphisms in the commutant of the square of the integration in the spaces \(C\) and \(L\). (English) Zbl 1049.47505 Math. Balk., New Ser. 12, No. 3-4, 395-409 (1998). MSC: 47G10 47B38 42A45 45D05 45E10 45P05 44A35 46E15 PDFBibTeX XMLCite \textit{S. Mincheva}, Math. Balk., New Ser. 12, No. 3--4, 395--409 (1998; Zbl 1049.47505)
Takajshvili, K. G. Three notes in operational calculus. (Russian) Zbl 0502.44003 Differ. Integral’nye Uravn. 6, 56-60 (1979). MSC: 44A45 34A25 35A22 PDFBibTeX XMLCite \textit{K. G. Takajshvili}, Differ. Integral'nye Uravn. 6, 56--60 (1979; Zbl 0502.44003)