Bender, Christian; Butko, Yana A. Stochastic solutions of generalized time-fractional evolution equations. (English) Zbl 07636539 Fract. Calc. Appl. Anal. 25, No. 2, 488-519 (2022). MSC: 45J05 45R05 60H20 26A33 33E12 60G22 60G65 33C65 PDF BibTeX XML Cite \textit{C. Bender} and \textit{Y. A. Butko}, Fract. Calc. Appl. Anal. 25, No. 2, 488--519 (2022; Zbl 07636539) Full Text: DOI arXiv OpenURL
Khan, Adnan; Akhtar, Hafiz Muhammad; Nisar, K. S.; Suthar, D. L. Pathway fractional integral formula involving an extended Mittag-Leffler function. (English) Zbl 07569058 Analysis, München 42, No. 3, 141-147 (2022). MSC: 26A33 05C38 33E12 PDF BibTeX XML Cite \textit{A. Khan} et al., Analysis, München 42, No. 3, 141--147 (2022; Zbl 07569058) Full Text: DOI OpenURL
Bhatter, Sanjay; Mathur, Amit; Kumar, Devendra; Singh, Jagdev On certain new results of fractional calculus involving product of generalized special functions. (English) Zbl 1492.26005 Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 135, 9 p. (2022). MSC: 26A33 33C20 33C65 33E12 PDF BibTeX XML Cite \textit{S. Bhatter} et al., Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 135, 9 p. (2022; Zbl 1492.26005) Full Text: DOI OpenURL
Abdalla, Mohamed; Boulaaras, Salah; Akel, Mohamed; Idris, Sahar Ahmed; Jain, Shilpi Certain fractional formulas of the extended \(k\)-hypergeometric functions. (English) Zbl 1494.33001 Adv. Difference Equ. 2021, Paper No. 450, 10 p. (2021). MSC: 33B15 33C05 33C45 33C60 26A33 PDF BibTeX XML Cite \textit{M. Abdalla} et al., Adv. Difference Equ. 2021, Paper No. 450, 10 p. (2021; Zbl 1494.33001) Full Text: DOI OpenURL
Nale, Asha B.; Panchal, Satish K.; Chinchane, Vaijanath L. Weighted fractional inequalities using Marichev-Saigo-Maeda fractional integral operator. (English) Zbl 07569342 J. Korean Soc. Ind. Appl. Math. 25, No. 2, 39-53 (2021). MSC: 26D10 26A33 PDF BibTeX XML Cite \textit{A. B. Nale} et al., J. Korean Soc. Ind. Appl. Math. 25, No. 2, 39--53 (2021; Zbl 07569342) Full Text: DOI OpenURL
Chandak, S.; Shimelis, Biniyam; Abeye, Nigussie; Padma, A. The Marichev-Saigo-Maeda fractional calculus operators pertaining to the \(V\)-function. (English) Zbl 1482.26006 Abstr. Appl. Anal. 2021, Article ID 9961013, 10 p. (2021). MSC: 26A33 33C20 33C60 33C05 33E12 PDF BibTeX XML Cite \textit{S. Chandak} et al., Abstr. Appl. Anal. 2021, Article ID 9961013, 10 p. (2021; Zbl 1482.26006) Full Text: DOI OpenURL
Manzoor, Tayyaba; Khan, Adnan; Wubneh, Kahsay Godifey; Kahsay, Hafte Amsalu Beta operator with Caputo Marichev-Saigo-Maeda fractional differential operator of extended Mittag-Leffler function. (English) Zbl 1489.47068 Adv. Math. Phys. 2021, Article ID 5560543, 9 p. (2021). MSC: 47E05 26A33 33E12 33C05 PDF BibTeX XML Cite \textit{T. Manzoor} et al., Adv. Math. Phys. 2021, Article ID 5560543, 9 p. (2021; Zbl 1489.47068) Full Text: DOI OpenURL
Suthar, D. L.; Chandak, S.; Amsalu, Hafte Unified fractional integral and derivative formulas, integral transforms of incomplete \(\tau \)-hypergeometric function. (English) Zbl 1488.26025 Afr. Mat. 32, No. 3-4, 599-620 (2021). MSC: 26A33 33B15 33C05 33C20 44A10 44A20 PDF BibTeX XML Cite \textit{D. L. Suthar} et al., Afr. Mat. 32, No. 3--4, 599--620 (2021; Zbl 1488.26025) Full Text: DOI OpenURL
Habenom, Haile; Oli, Abdi; Suthar, D. L. \((p,q)\)-extended Struve function: fractional integrations and application to fractional kinetic equations. (English) Zbl 1477.26006 J. Math. 2021, Article ID 5536817, 10 p. (2021). MSC: 26A33 PDF BibTeX XML Cite \textit{H. Habenom} et al., J. Math. 2021, Article ID 5536817, 10 p. (2021; Zbl 1477.26006) Full Text: DOI OpenURL
Suthar, D. L.; Agarwal, P.; Amsalu, Hafte Marichev-Saigo-Maeda fractional integral operators involving the product of generalized Bessel-Maitland functions. (English) Zbl 1474.33024 Bol. Soc. Parana. Mat. (3) 39, No. 1, 95-105 (2021). MSC: 33C10 26A33 33C65 PDF BibTeX XML Cite \textit{D. L. Suthar} et al., Bol. Soc. Parana. Mat. (3) 39, No. 1, 95--105 (2021; Zbl 1474.33024) Full Text: Link OpenURL
Kabra, Seema; Nagar, Harish; Nisar, Kottakkaran Sooppy; Suthar, D. L. The Marichev-Saigo-Maeda fractional calculus operators pertaining to the generalized \(k\)-Struve function. (English) Zbl 07664210 Appl. Math. Nonlinear Sci. 5, No. 2, 593-602 (2020). MSC: 26A33 33C65 33C20 PDF BibTeX XML Cite \textit{S. Kabra} et al., Appl. Math. Nonlinear Sci. 5, No. 2, 593--602 (2020; Zbl 07664210) Full Text: DOI OpenURL
Jangid, K.; Parmar, R. K.; Agarwal, R.; Purohit, Sunil D. Fractional calculus and integral transforms of the product of a general class of polynomial and incomplete Fox-Wright functions. (English) Zbl 1486.26010 Adv. Difference Equ. 2020, Paper No. 606, 16 p. (2020). MSC: 26A33 33C20 33C05 PDF BibTeX XML Cite \textit{K. Jangid} et al., Adv. Difference Equ. 2020, Paper No. 606, 16 p. (2020; Zbl 1486.26010) Full Text: DOI OpenURL
Jangid, Kamlesh; Bhatter, Sanjay; Meena, Sapna; Baleanu, Dumitru; Al Qurashi, Maysaa; Purohit, Sunil Dutt Some fractional calculus findings associated with the incomplete \(I\)-functions. (English) Zbl 1482.26009 Adv. Difference Equ. 2020, Paper No. 265, 24 p. (2020). MSC: 26A33 33C60 33C45 34L05 PDF BibTeX XML Cite \textit{K. Jangid} et al., Adv. Difference Equ. 2020, Paper No. 265, 24 p. (2020; Zbl 1482.26009) Full Text: DOI OpenURL
Tassaddiq, Asifa; Khan, Aftab; Rahman, Gauhar; Nisar, Kottakkaran Sooppy; Abouzaid, Moheb Saad; Khan, Ilyas Fractional integral inequalities involving Marichev-Saigo-Maeda fractional integral operator. (English) Zbl 07460960 J. Inequal. Appl. 2020, Paper No. 185, 14 p. (2020). MSC: 26D15 26A33 45P05 PDF BibTeX XML Cite \textit{A. Tassaddiq} et al., J. Inequal. Appl. 2020, Paper No. 185, 14 p. (2020; Zbl 07460960) Full Text: DOI OpenURL
Nisar, Kottakkaran Sooppy; Suthar, D. L.; Agarwal, R.; Purohit, S. D. Fractional calculus operators with Appell function kernels applied to Srivastava polynomials and extended Mittag-Leffler function. (English) Zbl 1482.26010 Adv. Difference Equ. 2020, Paper No. 148, 14 p. (2020). MSC: 26A33 33C20 33E20 33E12 33C10 PDF BibTeX XML Cite \textit{K. S. Nisar} et al., Adv. Difference Equ. 2020, Paper No. 148, 14 p. (2020; Zbl 1482.26010) Full Text: DOI OpenURL
El-Nabulsi, Rami Ahmad Saigo-Maeda operators involving the Appell function, real spectra from symmetric quantum Hamiltonians and violation of the second law of thermodynamics for quantum damped oscillators. (English) Zbl 1466.81012 Int. J. Theor. Phys. 59, No. 12, 3721-3736 (2020). MSC: 81Q05 35R11 33C65 26A33 80A10 PDF BibTeX XML Cite \textit{R. A. El-Nabulsi}, Int. J. Theor. Phys. 59, No. 12, 3721--3736 (2020; Zbl 1466.81012) Full Text: DOI OpenURL
Choudhary, Sangeeta On some image formulas for generalized Lommel Wright function involving a general class of polynomials. (English) Zbl 1474.33031 Electron. J. Math. Anal. Appl. 8, No. 2, 128-139 (2020). MSC: 33C20 26A33 44A20 PDF BibTeX XML Cite \textit{S. Choudhary}, Electron. J. Math. Anal. Appl. 8, No. 2, 128--139 (2020; Zbl 1474.33031) Full Text: Link OpenURL
Suthar, D. L.; Tilahun, Kelelaw; Oli, Abdi Generalized fractional calculus operators involving the product of the Jacobi type orthogonal polynomials and multivariable polynomials. (English) Zbl 1444.26005 Appl. Appl. Math. 15, No. 1, 565-581 (2020). MSC: 26A33 33C45 33E20 PDF BibTeX XML Cite \textit{D. L. Suthar} et al., Appl. Appl. Math. 15, No. 1, 565--581 (2020; Zbl 1444.26005) Full Text: Link OpenURL
Agarwal, Praveen; Rassias, Themistocles M.; Singh, Gurmej; Jain, Shilpi Certain fractional integral and differential formulas involving the extended incomplete generalized hypergeometric functions. (English) Zbl 1442.26008 Rassias, Themistocles M. (ed.) et al., Mathematical analysis and applications. Cham: Springer. Springer Optim. Appl. 154, 217-272 (2019). MSC: 26A33 33B20 33C20 44A20 65R10 PDF BibTeX XML Cite \textit{P. Agarwal} et al., Springer Optim. Appl. 154, 217--272 (2019; Zbl 1442.26008) Full Text: DOI OpenURL
Jana, R.; Maheshwari, B.; Shukla, A. Note on extended hypergeometric function. (English) Zbl 1458.33002 Proyecciones 38, No. 3, 585-595 (2019). Reviewer: József Sándor (Cluj-Napoca) MSC: 33B15 26A33 33C05 33C20 44A05 PDF BibTeX XML Cite \textit{R. Jana} et al., Proyecciones 38, No. 3, 585--595 (2019; Zbl 1458.33002) Full Text: DOI OpenURL
Bansal, Manish Kumar; Kumar, Devendra; Jain, Rashmi A study of Marichev-Saigo-Maeda fractional integral operators associated with the S-generalized Gauss hypergeometric function. (English) Zbl 1434.33012 Kyungpook Math. J. 59, No. 3, 433-443 (2019). MSC: 33C20 26A33 33C65 44A15 PDF BibTeX XML Cite \textit{M. K. Bansal} et al., Kyungpook Math. J. 59, No. 3, 433--443 (2019; Zbl 1434.33012) Full Text: DOI OpenURL
Nisar, Kottakkaran Sooppy; Mondal, Saiful Rahman; Wang, Guotao Pathway fractional integral operators involving \(\mathtt{k}\)-Struve function. (English) Zbl 1438.26014 Afr. Mat. 30, No. 7-8, 1267-1274 (2019). MSC: 26A33 33E20 PDF BibTeX XML Cite \textit{K. S. Nisar} et al., Afr. Mat. 30, No. 7--8, 1267--1274 (2019; Zbl 1438.26014) Full Text: DOI OpenURL
Suthar, D. L.; Amsalu, Hafte Fractional integral and derivative formulas by using Marichev-Saigo-Maeda operators involving the S-function. (English) Zbl 1474.26030 Abstr. Appl. Anal. 2019, Article ID 6487687, 19 p. (2019). MSC: 26A33 33C60 PDF BibTeX XML Cite \textit{D. L. Suthar} and \textit{H. Amsalu}, Abstr. Appl. Anal. 2019, Article ID 6487687, 19 p. (2019; Zbl 1474.26030) Full Text: DOI OpenURL
Kamarujjama, M.; Khan, N. U.; Khan, Owais; Nieto, Juan J. Extended type \(k\)-Mittag-Leffler function and its applications. (English) Zbl 1414.26016 Int. J. Appl. Comput. Math. 5, No. 3, Paper No. 72, 14 p. (2019). MSC: 26A33 33C20 33E12 PDF BibTeX XML Cite \textit{M. Kamarujjama} et al., Int. J. Appl. Comput. Math. 5, No. 3, Paper No. 72, 14 p. (2019; Zbl 1414.26016) Full Text: DOI OpenURL
Agarwal, Praveen; Qi, Feng; Chand, Mehar; Singh, Gurmej Some fractional differential equations involving generalized hypergeometric functions. (English) Zbl 1423.26010 J. Appl. Anal. 25, No. 1, 37-44 (2019). MSC: 26A33 33E12 44A10 44A20 PDF BibTeX XML Cite \textit{P. Agarwal} et al., J. Appl. Anal. 25, No. 1, 37--44 (2019; Zbl 1423.26010) Full Text: DOI OpenURL
Agarwal, Ravi P.; Kılıçman, Adem; Parmar, Rakesh K.; Rathie, Arjun K. Certain generalized fractional calculus formulas and integral transforms involving \((p, q)\)-Mathieu-type series. (English) Zbl 1459.26007 Adv. Difference Equ. 2019, Paper No. 221, 11 p. (2019). MSC: 26A33 44A15 44A55 PDF BibTeX XML Cite \textit{R. P. Agarwal} et al., Adv. Difference Equ. 2019, Paper No. 221, 11 p. (2019; Zbl 1459.26007) Full Text: DOI OpenURL
Suthar, D. L.; Ayene, Mengesha Generalized fractional integral formulas for the \(k\)-Bessel function. (English) Zbl 1487.33003 J. Math. 2018, Article ID 5198621, 8 p. (2018). MSC: 33C10 44A15 PDF BibTeX XML Cite \textit{D. L. Suthar} and \textit{M. Ayene}, J. Math. 2018, Article ID 5198621, 8 p. (2018; Zbl 1487.33003) Full Text: DOI OpenURL
Singh, Gurmej; Agarwal, Praveen; Araci, Serkan; Acikgoz, Mehmet Certain fractional calculus formulas involving extended generalized Mathieu series. (English) Zbl 1446.26006 Adv. Difference Equ. 2018, Paper No. 144, 30 p. (2018). MSC: 26A33 33C45 33C60 33C70 PDF BibTeX XML Cite \textit{G. Singh} et al., Adv. Difference Equ. 2018, Paper No. 144, 30 p. (2018; Zbl 1446.26006) Full Text: DOI OpenURL
Agarwal, Praveen; Al-Mdallal, Qasem; Cho, Yeol Je; Jain, Shilpi Fractional differential equations for the generalized Mittag-Leffler function. (English) Zbl 1445.34007 Adv. Difference Equ. 2018, Paper No. 58, 8 p. (2018). MSC: 34A08 26A33 33E12 33C05 33C15 33C20 33C65 33C90 PDF BibTeX XML Cite \textit{P. Agarwal} et al., Adv. Difference Equ. 2018, Paper No. 58, 8 p. (2018; Zbl 1445.34007) Full Text: DOI OpenURL
Srivastava, H. M.; Saxena, R. K.; Parmar, R. K. Some families of the incomplete \(H\)-functions and the incomplete \(\overline H \)-functions and associated integral transforms and operators of fractional calculus with applications. (English) Zbl 1392.33008 Russ. J. Math. Phys. 25, No. 1, 116-138 (2018). MSC: 33C60 PDF BibTeX XML Cite \textit{H. M. Srivastava} et al., Russ. J. Math. Phys. 25, No. 1, 116--138 (2018; Zbl 1392.33008) Full Text: DOI OpenURL
Suthar, D. L.; Habenom, Haile; Tadesse, Hagos Generalized fractional calculus formulas for a product of Mittag-Leffler function and multivariable polynomials. (English) Zbl 1380.26008 Int. J. Appl. Comput. Math. 4, No. 1, Paper No. 34, 12 p. (2018). MSC: 26A33 33E12 PDF BibTeX XML Cite \textit{D. L. Suthar} et al., Int. J. Appl. Comput. Math. 4, No. 1, Paper No. 34, 12 p. (2018; Zbl 1380.26008) Full Text: DOI OpenURL
Mishra, Vishnu Narayan; Suthar, D. L.; Purohit, S. D. Marichev-Saigo-Maeda fractional calculus operators, Srivastava polynomials and generalized Mittag-Leffler function. (English) Zbl 1438.26013 Cogent Math. 4, Article ID 1320830, 11 p. (2017). MSC: 26A33 33B15 33C05 PDF BibTeX XML Cite \textit{V. N. Mishra} et al., Cogent Math. 4, Article ID 1320830, 11 p. (2017; Zbl 1438.26013) Full Text: DOI OpenURL
Kim, Yongsup Some fractional integral formulas involving the product of confluent hypergeometric functions. (English) Zbl 1403.33007 Honam Math. J. 39, No. 3, 443-451 (2017). MSC: 33C15 26A33 33B15 33C20 PDF BibTeX XML Cite \textit{Y. Kim}, Honam Math. J. 39, No. 3, 443--451 (2017; Zbl 1403.33007) Full Text: DOI OpenURL
Kachhia, Krunal B.; Agarwal, Praveen; Prajapati, Jyotindra C. Certain image formulae and fractional kinetic equations involving extended hypergeometric functions. (English) Zbl 1383.26004 Ruzhansky, Michael (ed.) et al., Advances in real and complex analysis with applications. Selected papers based on the presentations at the 24th international conference on finite or infinite dimensional complex analysis and applications, 24ICFIDCAA, Jaipur, India, August 22–26, 2016. Singapore: Birkhäuser/Springer (ISBN 978-981-10-4336-9/hbk; 978-981-10-4337-6/ebook). Trends in Mathematics, 1-32 (2017). MSC: 26A33 33B15 33C15 33C20 44A10 33E20 PDF BibTeX XML Cite \textit{K. B. Kachhia} et al., in: Advances in real and complex analysis with applications. Selected papers based on the presentations at the 24th international conference on finite or infinite dimensional complex analysis and applications, 24ICFIDCAA, Jaipur, India, August 22--26, 2016. Singapore: Birkhäuser/Springer. 1--32 (2017; Zbl 1383.26004) Full Text: DOI OpenURL
Malik, Pradeep; Mondal, Saiful R. Some composition formulas of Jacobi type orthogonal polynomials. (English) Zbl 1384.33020 Commun. Korean Math. Soc. 32, No. 3, 677-688 (2017). MSC: 33C45 26A33 PDF BibTeX XML Cite \textit{P. Malik} and \textit{S. R. Mondal}, Commun. Korean Math. Soc. 32, No. 3, 677--688 (2017; Zbl 1384.33020) Full Text: DOI OpenURL
Kataria, K. K.; Vellaisamy, P. Saigo space-time fractional Poisson process via Adomian decomposition method. (English) Zbl 1380.60046 Stat. Probab. Lett. 129, 69-80 (2017). MSC: 60G22 60G55 26A33 PDF BibTeX XML Cite \textit{K. K. Kataria} and \textit{P. Vellaisamy}, Stat. Probab. Lett. 129, 69--80 (2017; Zbl 1380.60046) Full Text: DOI arXiv OpenURL
Nisar, Kottakkaran Sooppy; Eata, Ashraf Fetoh; Al-Dhaifallah, Mujahed; Choi, Junesang Fractional calculus of generalized \(k\)-Mittag-Leffler function and its applications to statistical distribution. (English) Zbl 1419.33001 Adv. Difference Equ. 2016, Paper No. 304, 17 p. (2016). MSC: 33C10 44A10 44A20 33E12 26A33 PDF BibTeX XML Cite \textit{K. S. Nisar} et al., Adv. Difference Equ. 2016, Paper No. 304, 17 p. (2016; Zbl 1419.33001) Full Text: DOI OpenURL
Kumar, Dinesh; Gupta, Rajeev Kumar; Shaktawat, Bhupender Singh Certain results on extended generalized \(\tau\)-Gauss hypergeometric function. (English) Zbl 1382.33014 Honam Math. J. 38, No. 4, 739-752 (2016). MSC: 33C20 26A33 33B15 33B20 33C05 PDF BibTeX XML Cite \textit{D. Kumar} et al., Honam Math. J. 38, No. 4, 739--752 (2016; Zbl 1382.33014) Full Text: DOI OpenURL
Agarwal, Praveen; Chand, Mehar; Karimov, Erkinjon Tulkinovich Certain image formulas of generalized hypergeometric functions. (English) Zbl 1410.33003 Appl. Math. Comput. 266, 763-772 (2015). MSC: 33B15 26A33 33C60 33C45 33C15 33C20 33C99 44A10 PDF BibTeX XML Cite \textit{P. Agarwal} et al., Appl. Math. Comput. 266, 763--772 (2015; Zbl 1410.33003) Full Text: DOI OpenURL
Agarwal, Praveen; Nieto, Juan J. Some fractional integral formulas for the Mittag-Leffler type function with four parameters. (English) Zbl 1347.26015 Open Math. 13, 537-546 (2015). MSC: 26A33 33E12 33C60 33E20 PDF BibTeX XML Cite \textit{P. Agarwal} and \textit{J. J. Nieto}, Open Math. 13, 537--546 (2015; Zbl 1347.26015) Full Text: DOI OpenURL
Agarwal, Praveen; Rogosin, Sergei V.; Karimov, Erkinjon T.; Chand, Mehar Generalized fractional integral operators and the multivariable \(H\)-function. (English) Zbl 1334.33039 J. Inequal. Appl. 2015, Paper No. 350, 17 p. (2015). MSC: 33E12 26A33 33C60 PDF BibTeX XML Cite \textit{P. Agarwal} et al., J. Inequal. Appl. 2015, Paper No. 350, 17 p. (2015; Zbl 1334.33039) Full Text: DOI OpenURL
Agarwal, Praveen; Rogosin, Sergei V.; Trujillo, Juan J. Certain fractional integral operators and the generalized multi-index Mittag-Leffler functions. (English) Zbl 1323.33020 Proc. Indian Acad. Sci., Math. Sci. 125, No. 3, 291-306 (2015). MSC: 33E12 26A33 33C65 PDF BibTeX XML Cite \textit{P. Agarwal} et al., Proc. Indian Acad. Sci., Math. Sci. 125, No. 3, 291--306 (2015; Zbl 1323.33020) Full Text: DOI OpenURL
Baleanu, Dumitru; Agarwal, Praveen On generalized fractional integral operators and the generalized Gauss hypergeometric functions. (English) Zbl 1474.33027 Abstr. Appl. Anal. 2014, Article ID 630840, 5 p. (2014). MSC: 33C20 26A33 33C65 PDF BibTeX XML Cite \textit{D. Baleanu} and \textit{P. Agarwal}, Abstr. Appl. Anal. 2014, Article ID 630840, 5 p. (2014; Zbl 1474.33027) Full Text: DOI OpenURL
Mondal, Saiful R.; Nisar, K. S. Marichev-Saigo-Maeda fractional integration operators involving generalized Bessel functions. (English) Zbl 1407.33008 Math. Probl. Eng. 2014, Article ID 274093, 11 p. (2014). MSC: 33C10 26A33 PDF BibTeX XML Cite \textit{S. R. Mondal} and \textit{K. S. Nisar}, Math. Probl. Eng. 2014, Article ID 274093, 11 p. (2014; Zbl 1407.33008) Full Text: DOI arXiv OpenURL
Kiryakova, Virginia From the hyper-Bessel operators of Dimovski to the generalized fractional calculus. (English) Zbl 1314.44003 Fract. Calc. Appl. Anal. 17, No. 4, 977-1000 (2014). MSC: 44A40 26A33 33C10 44-03 01A60 33C60 PDF BibTeX XML Cite \textit{V. Kiryakova}, Fract. Calc. Appl. Anal. 17, No. 4, 977--1000 (2014; Zbl 1314.44003) Full Text: DOI OpenURL